56154788352 has 560 divisors, whose sum is σ = 184841794368. Its totient is φ = 16930529280.

The previous prime is 56154788329. The next prime is 56154788383. The reversal of 56154788352 is 25388745165.

56154788352 is a `hidden beast` number, since 5 + 61 + 547 + 8 + 8 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8064000) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 344507823 + ... + 344507985.

Almost surely, 2^56154788352 is an apocalyptic number.

56154788352 is a gapful number since it is divisible by the number (52) 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 56154788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92420897184).

56154788352 is an abundant number, since it is smaller than the sum of its proper divisors (128687006016).

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

56154788352 is an equidigital number, since it uses as much as digits as its factorization.

56154788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 252 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 56154788352 in words is "fifty-six billion, one hundred fifty-four million, seven hundred eighty-eight thousand, three hundred fifty-two".