87601764096 has 648 divisors, whose sum is σ = 334569965184. Its totient is φ = 21757317120.

The previous prime is 87601764049. The next prime is 87601764121. The reversal of 87601764096 is 69046710678.

It is a happy number.

87601764096 is a `hidden beast` number, since 8 + 7 + 60 + 176 + 409 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28561155 + ... + 28564221.

Almost surely, 2^87601764096 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 87601764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167284982592).

87601764096 is an abundant number, since it is smaller than the sum of its proper divisors (246968201088).

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

87601764096 is a wasteful number, since it uses less digits than its factorization.

87601764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 87601764096 in words is "eighty-seven billion, six hundred one million, seven hundred sixty-four thousand, ninety-six".