86779509064704 has 297 divisors, whose sum is σ = 262004244506823. Its totient is φ = 27662270828544.

The previous prime is 86779509064691. The next prime is 86779509064723. The reversal of 86779509064704 is 40746090597768.

The square root of 86779509064704 is 9315552.

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

86779509064704 is a `hidden beast` number, since 8 + 6 + 7 + 79 + 509 + 0 + 6 + 47 + 0 + 4 = 666.

It is a super-2 number, since 2×86779509064704² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20568736707 + ... + 20568740925.

Almost surely, 2^{86779509064704} is an apocalyptic number.

86779509064704 is the 9315552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86779509064704

86779509064704 is an abundant number, since it is smaller than the sum of its proper divisors (175224735442119).

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

86779509064704 is an frugal number, since it uses more digits than its factorization.

86779509064704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8510 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 86779509064704 in words is "eighty-six trillion, seven hundred seventy-nine billion, five hundred nine million, sixty-four thousand, seven hundred four".