56257740000000 has 4320 divisors, whose sum is σ = 269833657661568. Its totient is φ = 11404800000000.

The previous prime is 56257739999999. The next prime is 56257740000017. The reversal of 56257740000000 is 4775265.

56257740000000 is a `hidden beast` number, since 562 + 57 + 7 + 40 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56257740000000.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1372139999980 + ... + 1372140000020.

Almost surely, 2^{56257740000000} is an apocalyptic number.

56257740000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56257740000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134916828830784).

56257740000000 is an abundant number, since it is smaller than the sum of its proper divisors (213575917661568).

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

56257740000000 is an frugal number, since it uses more digits than its factorization.

56257740000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 56257740000000 its reverse (4775265), we get a palindrome (56257744775265).

The spelling of 56257740000000 in words is "fifty-six trillion, two hundred fifty-seven billion, seven hundred forty million", and thus it is an aban number.