86252623600 has 540 divisors, whose sum is σ = 255602482408. Its totient is φ = 27782092800.

The previous prime is 86252623577. The next prime is 86252623619. The reversal of 86252623600 is 632625268.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 529157119 + ... + 529157281.

Almost surely, 2^86252623600 is an apocalyptic number.

86252623600 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 86252623600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127801241204).

86252623600 is an abundant number, since it is smaller than the sum of its proper divisors (169349858808).

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

86252623600 is a wasteful number, since it uses less digits than its factorization.

86252623600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 86252623600 in words is "eighty-six billion, two hundred fifty-two million, six hundred twenty-three thousand, six hundred".