86124971520 has 960 divisors, whose sum is σ = 362741068800. Its totient is φ = 19307151360.

The previous prime is 86124971489. The next prime is 86124971593. The reversal of 86124971520 is 2517942168.

86124971520 is a `hidden beast` number, since 8 + 6 + 1 + 2 + 497 + 152 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×86124971520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199825705 + ... + 199826135.

It is an arithmetic number, because the mean of its divisors is an integer number (377855280).

Almost surely, 2^86124971520 is an apocalyptic number.

86124971520 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 86124971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181370534400).

86124971520 is an abundant number, since it is smaller than the sum of its proper divisors (276616097280).

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

86124971520 is a wasteful number, since it uses less digits than its factorization.

86124971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 86124971520 in words is "eighty-six billion, one hundred twenty-four million, nine hundred seventy-one thousand, five hundred twenty".