77668052331120 has 160 divisors (see below), whose sum is σ = 243725457572352. Its totient is φ = 20457440357376.

The previous prime is 77668052331091. The next prime is 77668052331131. The reversal of 77668052331120 is 2113325086677.

It is a super-2 number, since 2×77668052331120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90547774 + ... + 91401506.

Almost surely, 2^{77668052331120} 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 77668052331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121862728786176).

77668052331120 is an abundant number, since it is smaller than the sum of its proper divisors (166057405241232).

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

77668052331120 is a wasteful number, since it uses less digits than its factorization.

77668052331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858399 (or 858393 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 77668052331120 in words is "seventy-seven trillion, six hundred sixty-eight billion, fifty-two million, three hundred thirty-one thousand, one hundred twenty".