86612490000 has 525 divisors, whose sum is σ = 317313312393. Its totient is φ = 22884768000.

The previous prime is 86612489993. The next prime is 86612490053. The reversal of 86612490000 is 9421668.

The square root of 86612490000 is 294300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 50317667856 + 36294822144 = 224316^2 + 190512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 794609946 + ... + 794610054.

Almost surely, 2^86612490000 is an apocalyptic number.

86612490000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86612490000 is the 294300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86612490000

86612490000 is an abundant number, since it is smaller than the sum of its proper divisors (230700822393).

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

86612490000 is an frugal number, since it uses more digits than its factorization.

86612490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 86612490000 by its sum of digits (36), we get a square (3118049640000 = 1765800²).

86612490000 divided by its sum of digits (36) gives a square (2405902500 = 49050²).

The spelling of 86612490000 in words is "eighty-six billion, six hundred twelve million, four hundred ninety thousand".