86357489400 has 576 divisors, whose sum is σ = 366617160000. Its totient is φ = 17726791680.

The previous prime is 86357489329. The next prime is 86357489441. The reversal of 86357489400 is 498475368.

86357489400 is a `hidden beast` number, since 8 + 63 + 574 + 8 + 9 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×86357489400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6053476 + ... + 6067724.

It is an arithmetic number, because the mean of its divisors is an integer number (636488125).

Almost surely, 2^86357489400 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 86357489400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183308580000).

86357489400 is an abundant number, since it is smaller than the sum of its proper divisors (280259670600).

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

86357489400 is a wasteful number, since it uses less digits than its factorization.

86357489400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 86357489400 in words is "eighty-six billion, three hundred fifty-seven million, four hundred eighty-nine thousand, four hundred".