56164139640 has 1280 divisors, whose sum is σ = 244080967680. Its totient is φ = 11287019520.

The previous prime is 56164139621. The next prime is 56164139641. The reversal of 56164139640 is 4693146165.

56164139640 is a `hidden beast` number, since 561 + 6 + 41 + 3 + 9 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56164139641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 442237257 + ... + 442237383.

It is an arithmetic number, because the mean of its divisors is an integer number (190688256).

Almost surely, 2^56164139640 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 56164139640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122040483840).

56164139640 is an abundant number, since it is smaller than the sum of its proper divisors (187916828040).

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

56164139640 is a wasteful number, since it uses less digits than its factorization.

56164139640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56164139640 in words is "fifty-six billion, one hundred sixty-four million, one hundred thirty-nine thousand, six hundred forty".