78139883520 has 480 divisors, whose sum is σ = 292326194160. Its totient is φ = 19931332608.

The previous prime is 78139883509. The next prime is 78139883533. The reversal of 78139883520 is 2538893187.

78139883520 is a `hidden beast` number, since 7 + 8 + 1 + 39 + 8 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×78139883520² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3397386229 + ... + 3397386251.

Almost surely, 2^78139883520 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 78139883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146163097080).

78139883520 is an abundant number, since it is smaller than the sum of its proper divisors (214186310640).

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

78139883520 is an frugal number, since it uses more digits than its factorization.

78139883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 78139883520 in words is "seventy-eight billion, one hundred thirty-nine million, eight hundred eighty-three thousand, five hundred twenty".