87900560415360 has 4096 divisors, whose sum is σ = 417261404160000. Its totient is φ = 16950780887040.

The previous prime is 87900560415313. The next prime is 87900560415391. The reversal of 87900560415360 is 6351406500978.

87900560415360 is a `hidden beast` number, since 8 + 7 + 9 + 0 + 0 + 5 + 60 + 41 + 536 + 0 = 666.

87900560415360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 87900560415297 and 87900560415306.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 160695722607 + ... + 160695723153.

It is an arithmetic number, because the mean of its divisors is an integer number (101870460000).

Almost surely, 2^{87900560415360} is an apocalyptic number.

87900560415360 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 87900560415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208630702080000).

87900560415360 is an abundant number, since it is smaller than the sum of its proper divisors (329360843744640).

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

87900560415360 is a wasteful number, since it uses less digits than its factorization.

87900560415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 87900560415360 in words is "eighty-seven trillion, nine hundred billion, five hundred sixty million, four hundred fifteen thousand, three hundred sixty".