86812507520 has 128 divisors (see below), whose sum is σ = 211727299680. Its totient is φ = 34025472000.

The previous prime is 86812507493. The next prime is 86812507531. The reversal of 86812507520 is 2570521868.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×86812507520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40736855 + ... + 40738985.

Almost surely, 2^86812507520 is an apocalyptic number.

86812507520 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 86812507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105863649840).

86812507520 is an abundant number, since it is smaller than the sum of its proper divisors (124914792160).

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

86812507520 is a wasteful number, since it uses less digits than its factorization.

86812507520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 86812507520 in words is "eighty-six billion, eight hundred twelve million, five hundred seven thousand, five hundred twenty".