78139798524480 has 2688 divisors, whose sum is σ = 331235439575040. Its totient is φ = 15255060480000.

The previous prime is 78139798524467. The next prime is 78139798524497. The reversal of 78139798524480 is 8442589793187.

It is a super-2 number, since 2×78139798524480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136847282595 + ... + 136847283165.

It is an arithmetic number, because the mean of its divisors is an integer number (123227470080).

Almost surely, 2^{78139798524480} is an apocalyptic number.

78139798524480 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 78139798524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165617719787520).

78139798524480 is an abundant number, since it is smaller than the sum of its proper divisors (253095641050560).

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

78139798524480 is a wasteful number, since it uses less digits than its factorization.

78139798524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 75.

The spelling of 78139798524480 in words is "seventy-eight trillion, one hundred thirty-nine billion, seven hundred ninety-eight million, five hundred twenty-four thousand, four hundred eighty".