86720942758464 has 567 divisors, whose sum is σ = 300405099040137. Its totient is φ = 24765343335936.

The previous prime is 86720942758399. The next prime is 86720942758469. The reversal of 86720942758464 is 46485724902768.

The square root of 86720942758464 is 9312408.

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

86720942758464 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 0 + 94 + 2 + 75 + 8 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44764128360000 + 41956814398464 = 6690600^2 + 6477408^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86720942758392 and 86720942758401.

It is not an unprimeable number, because it can be changed into a prime (86720942758469) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42241081662 + ... + 42241083714.

Almost surely, 2^{86720942758464} is an apocalyptic number.

86720942758464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

86720942758464 is the 9312408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86720942758464

86720942758464 is an abundant number, since it is smaller than the sum of its proper divisors (213684156281673).

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

86720942758464 is an frugal number, since it uses more digits than its factorization.

86720942758464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 86720942758464 in words is "eighty-six trillion, seven hundred twenty billion, nine hundred forty-two million, seven hundred fifty-eight thousand, four hundred sixty-four".