12157640784 has 160 divisors (see below), whose sum is σ = 35847705600. Its totient is φ = 3942696960.

The previous prime is 12157640779. The next prime is 12157640809. The reversal of 12157640784 is 48704675121.

12157640784 is a `hidden beast` number, since 1 + 2 + 1 + 576 + 4 + 0 + 78 + 4 = 666.

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, 8483332 + ... + 8484764.

It is an arithmetic number, because the mean of its divisors is an integer number (224048160).

Almost surely, 2^12157640784 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 12157640784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17923852800).

12157640784 is an abundant number, since it is smaller than the sum of its proper divisors (23690064816).

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

12157640784 is a wasteful number, since it uses less digits than its factorization.

12157640784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 12157640784 in words is "twelve billion, one hundred fifty-seven million, six hundred forty thousand, seven hundred eighty-four".