78039721154304 has 1440 divisors, whose sum is σ = 292969326003200. Its totient is φ = 20530963095552.

The previous prime is 78039721154273. The next prime is 78039721154323. The reversal of 78039721154304 is 40345112793087.

78039721154304 is a `hidden beast` number, since 7 + 8 + 0 + 3 + 97 + 2 + 1 + 1 + 543 + 0 + 4 = 666.

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 159 ways as a sum of consecutive naturals, for example, 50576616957 + ... + 50576618499.

Almost surely, 2^{78039721154304} 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 78039721154304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146484663001600).

78039721154304 is an abundant number, since it is smaller than the sum of its proper divisors (214929604848896).

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

78039721154304 is a wasteful number, since it uses less digits than its factorization.

78039721154304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 78039721154304 in words is "seventy-eight trillion, thirty-nine billion, seven hundred twenty-one million, one hundred fifty-four thousand, three hundred four".