56302122240 has 864 divisors, whose sum is σ = 245525280000. Its totient is φ = 11593580544.

The previous prime is 56302122203. The next prime is 56302122263. The reversal of 56302122240 is 4222120365.

It is a happy number.

56302122240 is a `hidden beast` number, since 5 + 630 + 2 + 1 + 2 + 2 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45077136 + ... + 45078384.

Almost surely, 2^56302122240 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 56302122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122762640000).

56302122240 is an abundant number, since it is smaller than the sum of its proper divisors (189223157760).

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

56302122240 is a wasteful number, since it uses less digits than its factorization.

56302122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 56302122240 in words is "fifty-six billion, three hundred two million, one hundred twenty-two thousand, two hundred forty".