86090694976 has 224 divisors, whose sum is σ = 214231191552. Its totient is φ = 33721712640.

The previous prime is 86090694953. The next prime is 86090695013. The reversal of 86090694976 is 67949609068.

It is a super-2 number, since 2×86090694976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19756990 + ... + 19761346.

It is an arithmetic number, because the mean of its divisors is an integer number (956389248).

Almost surely, 2^86090694976 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 86090694976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107115595776).

86090694976 is an abundant number, since it is smaller than the sum of its proper divisors (128140496576).

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

86090694976 is a wasteful number, since it uses less digits than its factorization.

86090694976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 86090694976 in words is "eighty-six billion, ninety million, six hundred ninety-four thousand, nine hundred seventy-six".