86373874125 has 800 divisors, whose sum is σ = 228405640320. Its totient is φ = 32006016000.

The previous prime is 86373874123. The next prime is 86373874129. The reversal of 86373874125 is 52147837368.

It is a happy number.

86373874125 is a `hidden beast` number, since 86 + 3 + 73 + 87 + 412 + 5 = 666.

It is not a de Polignac number, because 86373874125 - 2¹ = 86373874123 is a prime.

It is a super-2 number, since 2×86373874125² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86373874123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 4545993366 + ... + 4545993384.

Almost surely, 2^86373874125 is an apocalyptic number.

86373874125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86373874125 is an abundant number, since it is smaller than the sum of its proper divisors (142031766195).

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

86373874125 is a wasteful number, since it uses less digits than its factorization.

86373874125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 62 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 86373874125 in words is "eighty-six billion, three hundred seventy-three million, eight hundred seventy-four thousand, one hundred twenty-five".