87628698984816 has 800 divisors, whose sum is σ = 297065495466432. Its totient is φ = 24643365765120.

The previous prime is 87628698984769. The next prime is 87628698984919. The reversal of 87628698984816 is 61848989682678.

87628698984816 is a `hidden beast` number, since 8 + 7 + 62 + 8 + 69 + 8 + 9 + 8 + 481 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6511749160 + ... + 6511762616.

Almost surely, 2^{87628698984816} 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 87628698984816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148532747733216).

87628698984816 is an abundant number, since it is smaller than the sum of its proper divisors (209436796481616).

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

87628698984816 is a wasteful number, since it uses less digits than its factorization.

87628698984816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13879 (or 13864 counting only the distinct ones).

The product of its digits is 32105299968, while the sum is 90.

The spelling of 87628698984816 in words is "eighty-seven trillion, six hundred twenty-eight billion, six hundred ninety-eight million, nine hundred eighty-four thousand, eight hundred sixteen".