56273481600 has 1152 divisors, whose sum is σ = 236697707520. Its totient is φ = 11663769600.

The previous prime is 56273481571. The next prime is 56273481643. The reversal of 56273481600 is 618437265.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 247900687 + ... + 247900913.

It is an arithmetic number, because the mean of its divisors is an integer number (205466760).

Almost surely, 2^56273481600 is an apocalyptic number.

56273481600 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 56273481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118348853760).

56273481600 is an abundant number, since it is smaller than the sum of its proper divisors (180424225920).

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

56273481600 is a wasteful number, since it uses less digits than its factorization.

56273481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 56273481600 in words is "fifty-six billion, two hundred seventy-three million, four hundred eighty-one thousand, six hundred".