56253349152 has 1152 divisors, whose sum is σ = 227780098560. Its totient is φ = 13302558720.

The previous prime is 56253349151. The next prime is 56253349157. The reversal of 56253349152 is 25194335265.

56253349152 is a `hidden beast` number, since 5 + 6 + 253 + 349 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56253349098 and 56253349107.

It is not an unprimeable number, because it can be changed into a prime (56253349151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770593788 + ... + 770593860.

It is an arithmetic number, because the mean of its divisors is an integer number (197725780).

Almost surely, 2^56253349152 is an apocalyptic number.

56253349152 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 56253349152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113890049280).

56253349152 is an abundant number, since it is smaller than the sum of its proper divisors (171526749408).

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

56253349152 is a wasteful number, since it uses less digits than its factorization.

56253349152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 56253349152 in words is "fifty-six billion, two hundred fifty-three million, three hundred forty-nine thousand, one hundred fifty-two".