56305400649552 has 60 divisors (see below), whose sum is σ = 159137087438004. Its totient is φ = 18582640473600.

The previous prime is 56305400649541. The next prime is 56305400649583. The reversal of 56305400649552 is 25594600450365.

56305400649552 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 5 + 40 + 0 + 6 + 49 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38219399009856 + 18086001639696 = 6182184^2 + 4252764^2 .

It is a super-4 number, since 4×56305400649552⁴ (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1935677173 + ... + 1935706260.

Almost surely, 2^{56305400649552} is an apocalyptic number.

It is an amenable number.

56305400649552 is an abundant number, since it is smaller than the sum of its proper divisors (102831686788452).

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

56305400649552 is a wasteful number, since it uses less digits than its factorization.

56305400649552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871383548 (or 3871383539 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 56305400649552 in words is "fifty-six trillion, three hundred five billion, four hundred million, six hundred forty-nine thousand, five hundred fifty-two".