87375407616000 has 6240 divisors, whose sum is σ = 417381738808320. Its totient is φ = 18059231232000.

The previous prime is 87375407615983. The next prime is 87375407616041. The reversal of 87375407616000 is 61670457378.

87375407616000 is a `hidden beast` number, since 8 + 7 + 3 + 75 + 407 + 6 + 160 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1196923391964 + ... + 1196923392036.

It is an arithmetic number, because the mean of its divisors is an integer number (66888099168).

Almost surely, 2^{87375407616000} is an apocalyptic number.

87375407616000 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 87375407616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208690869404160).

87375407616000 is an abundant number, since it is smaller than the sum of its proper divisors (330006331192320).

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

87375407616000 is a wasteful number, since it uses less digits than its factorization.

87375407616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 87375407616000 in words is "eighty-seven trillion, three hundred seventy-five billion, four hundred seven million, six hundred sixteen thousand".