87017076057600 has 2880 divisors, whose sum is σ = 370381704428736. Its totient is φ = 20042880122880.

The previous prime is 87017076057599. The next prime is 87017076057619. The reversal of 87017076057600 is 675067071078.

87017076057600 is a `hidden beast` number, since 8 + 7 + 0 + 1 + 7 + 0 + 7 + 60 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×87017076057600² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 190409356572 + ... + 190409357028.

Almost surely, 2^{87017076057600} is an apocalyptic number.

87017076057600 is a gapful number since it is divisible by the number (80) 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 87017076057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185190852214368).

87017076057600 is an abundant number, since it is smaller than the sum of its proper divisors (283364628371136).

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

87017076057600 is a wasteful number, since it uses less digits than its factorization.

87017076057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 87017076057600 in words is "eighty-seven trillion, seventeen billion, seventy-six million, fifty-seven thousand, six hundred".