86615654400 has 864 divisors, whose sum is σ = 351061905600. Its totient is φ = 20761804800.

The previous prime is 86615654399. The next prime is 86615654413. The reversal of 86615654400 is 445651668.

86615654400 is a `hidden beast` number, since 86 + 6 + 1 + 565 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973209556 + ... + 973209644.

It is an arithmetic number, because the mean of its divisors is an integer number (406321650).

Almost surely, 2^86615654400 is an apocalyptic number.

86615654400 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 86615654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175530952800).

86615654400 is an abundant number, since it is smaller than the sum of its proper divisors (264446251200).

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

86615654400 is an equidigital number, since it uses as much as digits as its factorization.

86615654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 86615654400 in words is "eighty-six billion, six hundred fifteen million, six hundred fifty-four thousand, four hundred".