56193784920 has 1536 divisors, whose sum is σ = 256779694080. Its totient is φ = 10316021760.

The previous prime is 56193784873. The next prime is 56193784949. The reversal of 56193784920 is 2948739165.

56193784920 is a `hidden beast` number, since 5 + 61 + 93 + 7 + 8 + 492 + 0 = 666.

It is a super-3 number, since 3×56193784920³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 525175507 + ... + 525175613.

It is an arithmetic number, because the mean of its divisors is an integer number (167174280).

It is a 2-persistent number, because it is pandigital, and so is 2⋅56193784920 = 112387569840, but 3⋅56193784920 = 168581354760 is not.

Almost surely, 2^56193784920 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 56193784920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128389847040).

56193784920 is an abundant number, since it is smaller than the sum of its proper divisors (200585909160).

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

56193784920 is a wasteful number, since it uses less digits than its factorization.

56193784920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 56193784920 in words is "fifty-six billion, one hundred ninety-three million, seven hundred eighty-four thousand, nine hundred twenty".