86293762564 has 27 divisors (see below), whose sum is σ = 152006541141. Its totient is φ = 42865167360.

The previous prime is 86293762559. The next prime is 86293762631. The reversal of 86293762564 is 46526739268.

The square root of 86293762564 is 293758.

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

It can be written as a sum of positive squares in only one way, i.e., 33761122564 + 52532640000 = 183742^2 + 229200^2 .

It is a super-2 number, since 2×86293762564² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86293762499 and 86293762508.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112215172 + ... + 112215940.

Almost surely, 2^86293762564 is an apocalyptic number.

86293762564 is the 293758-th square number.

It is an amenable number.

86293762564 is a deficient number, since it is larger than the sum of its proper divisors (65712778577).

86293762564 is an frugal number, since it uses more digits than its factorization.

86293762564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 962 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 58.

The spelling of 86293762564 in words is "eighty-six billion, two hundred ninety-three million, seven hundred sixty-two thousand, five hundred sixty-four".