87110291695680 has 1344 divisors, whose sum is σ = 350426901888000. Its totient is φ = 20331297423360.

The previous prime is 87110291695627. The next prime is 87110291695723. The reversal of 87110291695680 is 8659619201178.

87110291695680 is a `hidden beast` number, since 8 + 7 + 1 + 1 + 0 + 2 + 9 + 1 + 69 + 568 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11126614006 + ... + 11126621834.

It is an arithmetic number, because the mean of its divisors is an integer number (260734302000).

Almost surely, 2^{87110291695680} is an apocalyptic number.

87110291695680 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 87110291695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175213450944000).

87110291695680 is an abundant number, since it is smaller than the sum of its proper divisors (263316610192320).

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

87110291695680 is a wasteful number, since it uses less digits than its factorization.

87110291695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 87110291695680 in words is "eighty-seven trillion, one hundred ten billion, two hundred ninety-one million, six hundred ninety-five thousand, six hundred eighty".