86972264400 has 1440 divisors, whose sum is σ = 371179100160. Its totient is φ = 16988590080.

The previous prime is 86972264399. The next prime is 86972264437. The reversal of 86972264400 is 446227968.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86972264400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2022610779 + ... + 2022610821.

It is an arithmetic number, because the mean of its divisors is an integer number (257763264).

Almost surely, 2^86972264400 is an apocalyptic number.

86972264400 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 86972264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185589550080).

86972264400 is an abundant number, since it is smaller than the sum of its proper divisors (284206835760).

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

86972264400 is a wasteful number, since it uses less digits than its factorization.

86972264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 86972264400 in words is "eighty-six billion, nine hundred seventy-two million, two hundred sixty-four thousand, four hundred".