86356922400 has 1296 divisors, whose sum is σ = 377398344960. Its totient is φ = 18186854400.

The previous prime is 86356922383. The next prime is 86356922413. The reversal of 86356922400 is 422965368.

86356922400 is a `hidden beast` number, since 8 + 63 + 569 + 2 + 24 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1093125561 + ... + 1093125639.

Almost surely, 2^86356922400 is an apocalyptic number.

86356922400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86356922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188699172480).

86356922400 is an abundant number, since it is smaller than the sum of its proper divisors (291041422560).

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

86356922400 is a wasteful number, since it uses less digits than its factorization.

86356922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 86356922400 in words is "eighty-six billion, three hundred fifty-six million, nine hundred twenty-two thousand, four hundred".