78879633525 has 288 divisors, whose sum is σ = 182493462528. Its totient is φ = 31620326400.

The previous prime is 78879633499. The next prime is 78879633533. The reversal of 78879633525 is 52533697887.

78879633525 is a `hidden beast` number, since 7 + 8 + 8 + 79 + 6 + 33 + 525 = 666.

It is not a de Polignac number, because 78879633525 - 2⁵ = 78879633493 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59441412 + ... + 59442738.

It is an arithmetic number, because the mean of its divisors is an integer number (633657856).

Almost surely, 2^78879633525 is an apocalyptic number.

78879633525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78879633525 is an abundant number, since it is smaller than the sum of its proper divisors (103613829003).

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

78879633525 is a wasteful number, since it uses less digits than its factorization.

78879633525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1473 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 78879633525 in words is "seventy-eight billion, eight hundred seventy-nine million, six hundred thirty-three thousand, five hundred twenty-five".