87134798016 has 672 divisors, whose sum is σ = 308877004800. Its totient is φ = 23437209600.

The previous prime is 87134797987. The next prime is 87134798071. The reversal of 87134798016 is 61089743178.

87134798016 is a `hidden beast` number, since 87 + 1 + 3 + 479 + 80 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251108755 + ... + 251109101.

It is an arithmetic number, because the mean of its divisors is an integer number (459638400).

Almost surely, 2^87134798016 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 87134798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154438502400).

87134798016 is an abundant number, since it is smaller than the sum of its proper divisors (221742206784).

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

87134798016 is a wasteful number, since it uses less digits than its factorization.

87134798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 87134798016 in words is "eighty-seven billion, one hundred thirty-four million, seven hundred ninety-eight thousand, sixteen".