86772856320423 has 384 divisors, whose sum is σ = 173497108070400. Its totient is φ = 41808581568000.

The previous prime is 86772856320401. The next prime is 86772856320433. The reversal of 86772856320423 is 32402365827768.

86772856320423 is a `hidden beast` number, since 8 + 6 + 7 + 7 + 2 + 8 + 563 + 20 + 42 + 3 = 666.

It is not a de Polignac number, because 86772856320423 - 2²⁰ = 86772855271847 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86772856320433) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5211261648 + ... + 5211278298.

It is an arithmetic number, because the mean of its divisors is an integer number (451815385600).

Almost surely, 2^{86772856320423} is an apocalyptic number.

86772856320423 is a deficient number, since it is larger than the sum of its proper divisors (86724251749977).

86772856320423 is a wasteful number, since it uses less digits than its factorization.

86772856320423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020 (or 17001 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 86772856320423 in words is "eighty-six trillion, seven hundred seventy-two billion, eight hundred fifty-six million, three hundred twenty thousand, four hundred twenty-three".