56054461920 has 192 divisors, whose sum is σ = 185389585920. Its totient is φ = 14216767488.

The previous prime is 56054461907. The next prime is 56054461933. The reversal of 56054461920 is 2916445065.

It is an interprime number because it is at equal distance from previous prime (56054461907) and next prime (56054461933).

It is a super-2 number, since 2×56054461920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 902589 + ... + 962691.

It is an arithmetic number, because the mean of its divisors is an integer number (965570760).

Almost surely, 2^56054461920 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 56054461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92694792960).

56054461920 is an abundant number, since it is smaller than the sum of its proper divisors (129335124000).

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

56054461920 is a wasteful number, since it uses less digits than its factorization.

56054461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60217 (or 60209 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 56054461920 in words is "fifty-six billion, fifty-four million, four hundred sixty-one thousand, nine hundred twenty".