86319410598976 has 63 divisors (see below), whose sum is σ = 176998532993463. Its totient is φ = 41766341842560.

The previous prime is 86319410598973. The next prime is 86319410598997. The reversal of 86319410598976 is 67989501491368.

The square root of 86319410598976 is 9290824.

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

It is a super-2 number, since 2×86319410598976² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86319410598973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2304105621 + ... + 2304143083.

Almost surely, 2^{86319410598976} is an apocalyptic number.

86319410598976 is the 9290824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86319410598976

86319410598976 is an abundant number, since it is smaller than the sum of its proper divisors (90679122394487).

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

86319410598976 is an frugal number, since it uses more digits than its factorization.

86319410598976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000 (or 37496 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 76.

The spelling of 86319410598976 in words is "eighty-six trillion, three hundred nineteen billion, four hundred ten million, five hundred ninety-eight thousand, nine hundred seventy-six".