60488920800 has 1152 divisors, whose sum is σ = 276732288000. Its totient is φ = 12541132800.

The previous prime is 60488920781. The next prime is 60488920823. The reversal of 60488920800 is 802988406.

It is a happy number.

60488920800 is a `hidden beast` number, since 6 + 0 + 488 + 92 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134718976 + ... + 134719424.

It is an arithmetic number, because the mean of its divisors is an integer number (240219000).

Almost surely, 2^60488920800 is an apocalyptic number.

60488920800 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 60488920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138366144000).

60488920800 is an abundant number, since it is smaller than the sum of its proper divisors (216243367200).

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

60488920800 is a wasteful number, since it uses less digits than its factorization.

60488920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 60488920800 in words is "sixty billion, four hundred eighty-eight million, nine hundred twenty thousand, eight hundred".