86374753920 has 2048 divisors, whose sum is σ = 411264000000. Its totient is φ = 16972333056.

The previous prime is 86374753891. The next prime is 86374753921. The reversal of 86374753920 is 2935747368.

86374753920 is a `hidden beast` number, since 8 + 63 + 7 + 47 + 539 + 2 + 0 = 666.

It is a super-2 number, since 2×86374753920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86374753921) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1463978851 + ... + 1463978909.

It is an arithmetic number, because the mean of its divisors is an integer number (200812500).

Almost surely, 2^86374753920 is an apocalyptic number.

86374753920 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 86374753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000000).

86374753920 is an abundant number, since it is smaller than the sum of its proper divisors (324889246080).

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

86374753920 is a wasteful number, since it uses less digits than its factorization.

86374753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 86374753920 in words is "eighty-six billion, three hundred seventy-four million, seven hundred fifty-three thousand, nine hundred twenty".