56453648328000 has 3584 divisors, whose sum is σ = 268677347328000. Its totient is φ = 11500489728000.

The previous prime is 56453648327953. The next prime is 56453648328013. The reversal of 56453648328000 is 82384635465.

56453648328000 is a `hidden beast` number, since 5 + 6 + 4 + 536 + 4 + 83 + 28 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 43193303347 + ... + 43193304653.

Almost surely, 2^{56453648328000} is an apocalyptic number.

56453648328000 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 56453648328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134338673664000).

56453648328000 is an abundant number, since it is smaller than the sum of its proper divisors (212223699000000).

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

56453648328000 is a wasteful number, since it uses less digits than its factorization.

56453648328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 56453648328000 in words is "fifty-six trillion, four hundred fifty-three billion, six hundred forty-eight million, three hundred twenty-eight thousand".