56355143040 has 1536 divisors, whose sum is σ = 254513664000. Its totient is φ = 11705057280.

The previous prime is 56355143029. The next prime is 56355143057. The reversal of 56355143040 is 4034155365.

56355143040 is a `hidden beast` number, since 5 + 63 + 551 + 4 + 3 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56355142986 and 56355143004.

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 191 ways as a sum of consecutive naturals, for example, 498718024 + ... + 498718136.

It is an arithmetic number, because the mean of its divisors is an integer number (165699000).

Almost surely, 2^56355143040 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 56355143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127256832000).

56355143040 is an abundant number, since it is smaller than the sum of its proper divisors (198158520960).

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

56355143040 is a wasteful number, since it uses less digits than its factorization.

56355143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 56355143040 in words is "fifty-six billion, three hundred fifty-five million, one hundred forty-three thousand, forty".