56045001600 has 1920 divisors, whose sum is σ = 264454502400. Its totient is φ = 11386552320.

The previous prime is 56045001599. The next prime is 56045001637. The reversal of 56045001600 is 610054065.

It is a happy number.

56045001600 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 50 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 709430361 + ... + 709430439.

It is an arithmetic number, because the mean of its divisors is an integer number (137736720).

Almost surely, 2^56045001600 is an apocalyptic number.

56045001600 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 56045001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132227251200).

56045001600 is an abundant number, since it is smaller than the sum of its proper divisors (208409500800).

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

56045001600 is a wasteful number, since it uses less digits than its factorization.

56045001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 56045001600 its reverse (610054065), we get a palindrome (56655055665).

The spelling of 56045001600 in words is "fifty-six billion, forty-five million, one thousand, six hundred".