60126888124800 has 3456 divisors, whose sum is σ = 275951115498240. Its totient is φ = 12652748881920.

The previous prime is 60126888124789. The next prime is 60126888124949. The reversal of 60126888124800 is 842188862106.

60126888124800 is a `hidden beast` number, since 6 + 0 + 1 + 2 + 6 + 88 + 81 + 2 + 480 + 0 = 666.

60126888124800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 72704821987 + ... + 72704822813.

It is an arithmetic number, because the mean of its divisors is an integer number (79846966290).

Almost surely, 2^{60126888124800} is an apocalyptic number.

60126888124800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60126888124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137975557749120).

60126888124800 is an abundant number, since it is smaller than the sum of its proper divisors (215824227373440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60126888124800 is a wasteful number, since it uses less digits than its factorization.

60126888124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 60126888124800 in words is "sixty trillion, one hundred twenty-six billion, eight hundred eighty-eight million, one hundred twenty-four thousand, eight hundred".