78958415520 has 384 divisors, whose sum is σ = 293508230400. Its totient is φ = 19768541184.

The previous prime is 78958415477. The next prime is 78958415531. The reversal of 78958415520 is 2551485987.

78958415520 is a `hidden beast` number, since 7 + 8 + 9 + 5 + 84 + 1 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9270784 + ... + 9279296.

It is an arithmetic number, because the mean of its divisors is an integer number (764344350).

Almost surely, 2^78958415520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78958415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146754115200).

78958415520 is an abundant number, since it is smaller than the sum of its proper divisors (214549814880).

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

78958415520 is a wasteful number, since it uses less digits than its factorization.

78958415520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8655 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 78958415520 in words is "seventy-eight billion, nine hundred fifty-eight million, four hundred fifteen thousand, five hundred twenty".