86971044600 has 960 divisors, whose sum is σ = 367513977600. Its totient is φ = 18786816000.

The previous prime is 86971044593. The next prime is 86971044623. The reversal of 86971044600 is 644017968.

86971044600 is a `hidden beast` number, since 86 + 9 + 7 + 104 + 460 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 57557845 + ... + 57559355.

It is an arithmetic number, because the mean of its divisors is an integer number (382827060).

Almost surely, 2^86971044600 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 86971044600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183756988800).

86971044600 is an abundant number, since it is smaller than the sum of its proper divisors (280542933000).

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

86971044600 is a wasteful number, since it uses less digits than its factorization.

86971044600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 86971044600 in words is "eighty-six billion, nine hundred seventy-one million, forty-four thousand, six hundred".