56729181600 has 2304 divisors, whose sum is σ = 279982080000. Its totient is φ = 10973491200.

The previous prime is 56729181583. The next prime is 56729181617. The reversal of 56729181600 is 618192765.

56729181600 is a `hidden beast` number, since 5 + 6 + 7 + 29 + 18 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (56729181583) and next prime (56729181617).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 1829973585 + ... + 1829973615.

It is an arithmetic number, because the mean of its divisors is an integer number (121520000).

Almost surely, 2^56729181600 is an apocalyptic number.

56729181600 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 56729181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040000).

56729181600 is an abundant number, since it is smaller than the sum of its proper divisors (223252898400).

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

56729181600 is a wasteful number, since it uses less digits than its factorization.

56729181600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 56729181600 in words is "fifty-six billion, seven hundred twenty-nine million, one hundred eighty-one thousand, six hundred".