78013918530240 has 896 divisors, whose sum is σ = 313059117514752. Its totient is φ = 15988477870080.

The previous prime is 78013918530029. The next prime is 78013918530283. The reversal of 78013918530240 is 4203581931087.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3760965309 + ... + 3760986051.

It is an arithmetic number, because the mean of its divisors is an integer number (349396336512).

Almost surely, 2^{78013918530240} is an apocalyptic number.

78013918530240 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 78013918530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156529558757376).

78013918530240 is an abundant number, since it is smaller than the sum of its proper divisors (235045198984512).

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

78013918530240 is a wasteful number, since it uses less digits than its factorization.

78013918530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21477 (or 21467 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 78013918530240 in words is "seventy-eight trillion, thirteen billion, nine hundred eighteen million, five hundred thirty thousand, two hundred forty".