107790879214464 has 256 divisors, whose sum is σ = 303786002361600. Its totient is φ = 33747188613120.

The previous prime is 107790879214463. The next prime is 107790879214507. The reversal of 107790879214464 is 464412978097701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107790879214463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8085724279 + ... + 8085737609.

It is an arithmetic number, because the mean of its divisors is an integer number (1186664071725).

Almost surely, 2^{107790879214464} 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 107790879214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151893001180800).

107790879214464 is an abundant number, since it is smaller than the sum of its proper divisors (195995123147136).

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

107790879214464 is a wasteful number, since it uses less digits than its factorization.

107790879214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15821 (or 15809 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 107790879214464 in words is "one hundred seven trillion, seven hundred ninety billion, eight hundred seventy-nine million, two hundred fourteen thousand, four hundred sixty-four".