86673970124928 has 320 divisors, whose sum is σ = 272442995193600. Its totient is φ = 27277293791232.

The previous prime is 86673970124923. The next prime is 86673970124999. The reversal of 86673970124928 is 82942107937668.

86673970124928 is a `hidden beast` number, since 8 + 6 + 67 + 3 + 9 + 70 + 1 + 2 + 492 + 8 = 666.

It is a super-2 number, since 2×86673970124928² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (86673970124923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56967825 + ... + 58469487.

It is an arithmetic number, because the mean of its divisors is an integer number (851384359980).

Almost surely, 2^{86673970124928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86673970124928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136221497596800).

86673970124928 is an abundant number, since it is smaller than the sum of its proper divisors (185769025068672).

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

86673970124928 is a wasteful number, since it uses less digits than its factorization.

86673970124928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502001 (or 1501980 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 86673970124928 in words is "eighty-six trillion, six hundred seventy-three billion, nine hundred seventy million, one hundred twenty-four thousand, nine hundred twenty-eight".