56136414051564 has 384 divisors, whose sum is σ = 168657721344000. Its totient is φ = 14107667512320.

The previous prime is 56136414051541. The next prime is 56136414051589. The reversal of 56136414051564 is 46515041463165.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4924673137 + ... + 4924684535.

It is an arithmetic number, because the mean of its divisors is an integer number (439212816000).

Almost surely, 2^{56136414051564} 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 56136414051564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84328860672000).

56136414051564 is an abundant number, since it is smaller than the sum of its proper divisors (112521307292436).

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

56136414051564 is a wasteful number, since it uses less digits than its factorization.

56136414051564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12253 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 56136414051564 in words is "fifty-six trillion, one hundred thirty-six billion, four hundred fourteen million, fifty-one thousand, five hundred sixty-four".