78949987117056 has 960 divisors, whose sum is σ = 269887643625600. Its totient is φ = 22772839219200.

The previous prime is 78949987117051. The next prime is 78949987117087. The reversal of 78949987117056 is 65071178994987.

78949987117056 is a `hidden beast` number, since 7 + 8 + 9 + 499 + 8 + 7 + 1 + 1 + 70 + 56 = 666.

It is a super-2 number, since 2×78949987117056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (78949987117051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3757186806 + ... + 3757207818.

It is an arithmetic number, because the mean of its divisors is an integer number (281132962110).

Almost surely, 2^{78949987117056} 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 78949987117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134943821812800).

78949987117056 is an abundant number, since it is smaller than the sum of its proper divisors (190937656508544).

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

78949987117056 is a wasteful number, since it uses less digits than its factorization.

78949987117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21158 (or 21129 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 81.

The spelling of 78949987117056 in words is "seventy-eight trillion, nine hundred forty-nine billion, nine hundred eighty-seven million, one hundred seventeen thousand, fifty-six".