56256665322000 has 640 divisors, whose sum is σ = 217613559840768. Its totient is φ = 12321046272000.

The previous prime is 56256665321963. The next prime is 56256665322017. The reversal of 56256665322000 is 22356665265.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 39628477 + ... + 41023523.

Almost surely, 2^{56256665322000} is an apocalyptic number.

56256665322000 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 56256665322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108806779920384).

56256665322000 is an abundant number, since it is smaller than the sum of its proper divisors (161356894518768).

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

56256665322000 is a wasteful number, since it uses less digits than its factorization.

56256665322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395144 (or 1395128 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 56256665322000 in words is "fifty-six trillion, two hundred fifty-six billion, six hundred sixty-five million, three hundred twenty-two thousand".