87923909172600 has 288 divisors, whose sum is σ = 305408952576000. Its totient is φ = 22644924422400.

The previous prime is 87923909172581. The next prime is 87923909172641. The reversal of 87923909172600 is 627190932978.

87923909172600 is a `hidden beast` number, since 8 + 7 + 9 + 2 + 3 + 9 + 0 + 9 + 17 + 2 + 600 = 666.

It is a super-2 number, since 2×87923909172600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26501101 + ... + 29633699.

It is an arithmetic number, because the mean of its divisors is an integer number (1060447752000).

Almost surely, 2^{87923909172600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87923909172600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152704476288000).

87923909172600 is an abundant number, since it is smaller than the sum of its proper divisors (217485043403400).

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

87923909172600 is a wasteful number, since it uses less digits than its factorization.

87923909172600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133155 (or 3133143 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 87923909172600 in words is "eighty-seven trillion, nine hundred twenty-three billion, nine hundred nine million, one hundred seventy-two thousand, six hundred".