86756482080 has 672 divisors, whose sum is σ = 325790107776. Its totient is φ = 21776781312.

The previous prime is 86756482079. The next prime is 86756482147. The reversal of 86756482080 is 8028465768.

86756482080 is a `hidden beast` number, since 86 + 7 + 5 + 6 + 482 + 0 + 80 = 666.

It is a super-2 number, since 2×86756482080² (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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195838339 + ... + 195838781.

It is an arithmetic number, because the mean of its divisors is an integer number (484806708).

Almost surely, 2^86756482080 is an apocalyptic number.

86756482080 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 86756482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162895053888).

86756482080 is an abundant number, since it is smaller than the sum of its proper divisors (239033625696).

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

86756482080 is a wasteful number, since it uses less digits than its factorization.

86756482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 86756482080 in words is "eighty-six billion, seven hundred fifty-six million, four hundred eighty-two thousand, eighty".