126615104500500 has 3456 divisors, whose sum is σ = 546508502572032. Its totient is φ = 24340377600000.

The previous prime is 126615104500427. The next prime is 126615104500529. The reversal of 126615104500500 is 5005401516621.

126615104500500 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 151 + 0 + 450 + 0 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 1151 ways as a sum of consecutive naturals, for example, 450587560360 + ... + 450587560640.

It is an arithmetic number, because the mean of its divisors is an integer number (158133247272).

Almost surely, 2^{126615104500500} is an apocalyptic number.

126615104500500 is a gapful number since it is divisible by the number (10) 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 126615104500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273254251286016).

126615104500500 is an abundant number, since it is smaller than the sum of its proper divisors (419893398071532).

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

126615104500500 is a wasteful number, since it uses less digits than its factorization.

126615104500500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 126615104500500 in words is "one hundred twenty-six trillion, six hundred fifteen billion, one hundred four million, five hundred thousand, five hundred".