78231628125 has 144 divisors (see below), whose sum is σ = 162512348544. Its totient is φ = 35521200000.

The previous prime is 78231628093. The next prime is 78231628187. The reversal of 78231628125 is 52182613287.

78231628125 is a `hidden beast` number, since 7 + 8 + 2 + 3 + 1 + 628 + 12 + 5 = 666.

It is not a de Polignac number, because 78231628125 - 2⁵ = 78231628093 is a prime.

It is a super-2 number, since 2×78231628125² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30908110 + ... + 30910640.

It is an arithmetic number, because the mean of its divisors is an integer number (1128557976).

Almost surely, 2^78231628125 is an apocalyptic number.

78231628125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78231628125 is an abundant number, since it is smaller than the sum of its proper divisors (84280720419).

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

78231628125 is a wasteful number, since it uses less digits than its factorization.

78231628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2703 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 78231628125 in words is "seventy-eight billion, two hundred thirty-one million, six hundred twenty-eight thousand, one hundred twenty-five".