56293501180224 has 1344 divisors, whose sum is σ = 193533953840640. Its totient is φ = 14131003392000.

The previous prime is 56293501180177. The next prime is 56293501180249. The reversal of 56293501180224 is 42208110539265.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141797231994 + ... + 141797232390.

It is an arithmetic number, because the mean of its divisors is an integer number (143998477560).

Almost surely, 2^{56293501180224} 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 56293501180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96766976920320).

56293501180224 is an abundant number, since it is smaller than the sum of its proper divisors (137240452660416).

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

56293501180224 is a wasteful number, since it uses less digits than its factorization.

56293501180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 56293501180224 in words is "fifty-six trillion, two hundred ninety-three billion, five hundred one million, one hundred eighty thousand, two hundred twenty-four".