86556293376 has 144 divisors (see below), whose sum is σ = 271768670208. Its totient is φ = 23932569600.

The previous prime is 86556293363. The next prime is 86556293393. The reversal of 86556293376 is 67339265568.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93030 + ... + 426341.

It is an arithmetic number, because the mean of its divisors is an integer number (1887282432).

Almost surely, 2^86556293376 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 86556293376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135884335104).

86556293376 is an abundant number, since it is smaller than the sum of its proper divisors (185212376832).

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

86556293376 is a wasteful number, since it uses less digits than its factorization.

86556293376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519428 (or 519414 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 60.

The spelling of 86556293376 in words is "eighty-six billion, five hundred fifty-six million, two hundred ninety-three thousand, three hundred seventy-six".