78509662765056 has 768 divisors, whose sum is σ = 244157080658400. Its totient is φ = 24222105600000.

The previous prime is 78509662765043. The next prime is 78509662765087. The reversal of 78509662765056 is 65056726690587.

78509662765056 is a `hidden beast` number, since 7 + 8 + 5 + 0 + 96 + 6 + 27 + 6 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×78509662765056³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111996665506 + ... + 111996666206.

Almost surely, 2^{78509662765056} 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 78509662765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122078540329200).

78509662765056 is an abundant number, since it is smaller than the sum of its proper divisors (165647417893344).

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

78509662765056 is a wasteful number, since it uses less digits than its factorization.

78509662765056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 78509662765056 in words is "seventy-eight trillion, five hundred nine billion, six hundred sixty-two million, seven hundred sixty-five thousand, fifty-six".