86507298864900 has 729 divisors, whose sum is σ = 286160658414813. Its totient is φ = 21857929574400.

The previous prime is 86507298864839. The next prime is 86507298864901. The reversal of 86507298864900 is 946889270568.

The square root of 86507298864900 is 9300930.

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

86507298864900 is a `hidden beast` number, since 8 + 6 + 50 + 7 + 2 + 9 + 8 + 86 + 490 + 0 = 666.

86507298864900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 42058623208644 + 44448675656256 = 6485262^2 + 6666984^2 .

It is a super-2 number, since 2×86507298864900² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86507298864901) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 631440137632 + ... + 631440137768.

Almost surely, 2^{86507298864900} is an apocalyptic number.

86507298864900 is the 9300930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86507298864900

86507298864900 is an abundant number, since it is smaller than the sum of its proper divisors (199653359549913).

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

86507298864900 is a wasteful number, since it uses less digits than its factorization.

86507298864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 86507298864900 in words is "eighty-six trillion, five hundred seven billion, two hundred ninety-eight million, eight hundred sixty-four thousand, nine hundred".