86706825722500 has 405 divisors, whose sum is σ = 200175914787849. Its totient is φ = 32851501200000.

The previous prime is 86706825722483. The next prime is 86706825722519. The reversal of 86706825722500 is 522752860768.

The square root of 86706825722500 is 9311650.

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 85799500891204 + 907324831296 = 9262802^2 + 952536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1221222897465 + ... + 1221222897535.

Almost surely, 2^{86706825722500} is an apocalyptic number.

86706825722500 is the 9311650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86706825722500

86706825722500 is an abundant number, since it is smaller than the sum of its proper divisors (113469089065349).

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

86706825722500 is an frugal number, since it uses more digits than its factorization.

86706825722500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 86706825722500 in words is "eighty-six trillion, seven hundred six billion, eight hundred twenty-five million, seven hundred twenty-two thousand, five hundred".