86306403935376 has 225 divisors, whose sum is σ = 251608229976873. Its totient is φ = 28561557225600.

The previous prime is 86306403935371. The next prime is 86306403935387. The reversal of 86306403935376 is 67353930460368.

It is a happy number.

The square root of 86306403935376 is 9290124.

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

86306403935376 is a `hidden beast` number, since 8 + 6 + 3 + 0 + 6 + 4 + 0 + 3 + 93 + 537 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16225396261776 + 70081007673600 = 4028076^2 + 8371440^2 .

It is a super-2 number, since 2×86306403935376² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86306403935371) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50501113210 + ... + 50501114918.

Almost surely, 2^{86306403935376} is an apocalyptic number.

86306403935376 is the 9290124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86306403935376

86306403935376 is an abundant number, since it is smaller than the sum of its proper divisors (165301826041497).

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

86306403935376 is an frugal number, since it uses more digits than its factorization.

86306403935376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 86306403935376 in words is "eighty-six trillion, three hundred six billion, four hundred three million, nine hundred thirty-five thousand, three hundred seventy-six".