87834360096 has 144 divisors (see below), whose sum is σ = 296034508224. Its totient is φ = 25095515904.

The previous prime is 87834360077. The next prime is 87834360101. The reversal of 87834360096 is 69006343878.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 752395 + ... + 861258.

It is an arithmetic number, because the mean of its divisors is an integer number (2055795196).

Almost surely, 2^87834360096 is an apocalyptic number.

It is an amenable number.

87834360096 is an abundant number, since it is smaller than the sum of its proper divisors (208200148128).

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

87834360096 is a wasteful number, since it uses less digits than its factorization.

87834360096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613685 (or 1613665 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 87834360096 in words is "eighty-seven billion, eight hundred thirty-four million, three hundred sixty thousand, ninety-six".