86739884400 has 480 divisors, whose sum is σ = 310514014720. Its totient is φ = 20558499840.

The previous prime is 86739884389. The next prime is 86739884401. The reversal of 86739884400 is 448893768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86739884401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59450871 + ... + 59452329.

Almost surely, 2^86739884400 is an apocalyptic number.

86739884400 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 86739884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155257007360).

86739884400 is an abundant number, since it is smaller than the sum of its proper divisors (223774130320).

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

86739884400 is a wasteful number, since it uses less digits than its factorization.

86739884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 86739884400 in words is "eighty-six billion, seven hundred thirty-nine million, eight hundred eighty-four thousand, four hundred".