86273911825920 has 4320 divisors, whose sum is σ = 405471815562528. Its totient is φ = 16833878949888.

The previous prime is 86273911825883. The next prime is 86273911825949. The reversal of 86273911825920 is 2952811937268.

86273911825920 is a `hidden beast` number, since 8 + 6 + 2 + 7 + 39 + 1 + 1 + 8 + 2 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 431 ways as a sum of consecutive naturals, for example, 217314639162 + ... + 217314639558.

Almost surely, 2^{86273911825920} is an apocalyptic number.

86273911825920 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 86273911825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202735907781264).

86273911825920 is an abundant number, since it is smaller than the sum of its proper divisors (319197903736608).

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

86273911825920 is a wasteful number, since it uses less digits than its factorization.

86273911825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 86273911825920 in words is "eighty-six trillion, two hundred seventy-three billion, nine hundred eleven million, eight hundred twenty-five thousand, nine hundred twenty".