77138911227024 has 160 divisors (see below), whose sum is σ = 222385158403200. Its totient is φ = 25600585144320.

The previous prime is 77138911227023. The next prime is 77138911227043. The reversal of 77138911227024 is 42072211983177.

77138911227024 is a `hidden beast` number, since 7 + 7 + 1 + 389 + 11 + 227 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77138911227023) 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, 1799808507 + ... + 1799851365.

It is an arithmetic number, because the mean of its divisors is an integer number (1389907240020).

Almost surely, 2^{77138911227024} 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 77138911227024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111192579201600).

77138911227024 is an abundant number, since it is smaller than the sum of its proper divisors (145246247176176).

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

77138911227024 is a wasteful number, since it uses less digits than its factorization.

77138911227024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60990 (or 60978 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 77138911227024 in words is "seventy-seven trillion, one hundred thirty-eight billion, nine hundred eleven million, two hundred twenty-seven thousand, twenty-four".