86731254529920 has 4608 divisors, whose sum is σ = 432042336311040. Its totient is φ = 15546439434240.

The previous prime is 86731254529891. The next prime is 86731254529949. The reversal of 86731254529920 is 2992545213768.

86731254529920 is a `hidden beast` number, since 8 + 6 + 7 + 3 + 12 + 5 + 4 + 529 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86731254529891) and next prime (86731254529949).

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 277096659684 + ... + 277096659996.

It is a 2-persistent number, because it is pandigital, and so is 2⋅86731254529920 = 173462509059840, but 3⋅86731254529920 = 260193763589760 is not.

Almost surely, 2^{86731254529920} is an apocalyptic number.

86731254529920 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 86731254529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216021168155520).

86731254529920 is an abundant number, since it is smaller than the sum of its proper divisors (345311081781120).

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

86731254529920 is a wasteful number, since it uses less digits than its factorization.

86731254529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 86731254529920 in words is "eighty-six trillion, seven hundred thirty-one billion, two hundred fifty-four million, five hundred twenty-nine thousand, nine hundred twenty".