78137579520 has 1728 divisors, whose sum is σ = 373157759520. Its totient is φ = 14987427840.

The previous prime is 78137579503. The next prime is 78137579537. The reversal of 78137579520 is 2597573187.

It is a happy number.

78137579520 is a `hidden beast` number, since 7 + 8 + 13 + 7 + 579 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78137579503) and next prime (78137579537).

It is a super-2 number, since 2×78137579520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6010583034 + ... + 6010583046.

Almost surely, 2^78137579520 is an apocalyptic number.

78137579520 is a gapful number since it is divisible by the number (70) 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 78137579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186578879760).

78137579520 is an abundant number, since it is smaller than the sum of its proper divisors (295020180000).

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

78137579520 is a wasteful number, since it uses less digits than its factorization.

78137579520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 78137579520 in words is "seventy-eight billion, one hundred thirty-seven million, five hundred seventy-nine thousand, five hundred twenty".