78837882552 has 640 divisors, whose sum is σ = 275042718720. Its totient is φ = 20756736000.

The previous prime is 78837882511. The next prime is 78837882647. The reversal of 78837882552 is 25528873887.

78837882552 is a `hidden beast` number, since 7 + 8 + 8 + 3 + 78 + 8 + 2 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 78837882552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151320052 + ... + 151320572.

It is an arithmetic number, because the mean of its divisors is an integer number (429754248).

Almost surely, 2^78837882552 is an apocalyptic number.

78837882552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78837882552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137521359360).

78837882552 is an abundant number, since it is smaller than the sum of its proper divisors (196204836168).

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

78837882552 is a wasteful number, since it uses less digits than its factorization.

78837882552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 644 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 63.

The spelling of 78837882552 in words is "seventy-eight billion, eight hundred thirty-seven million, eight hundred eighty-two thousand, five hundred fifty-two".