56035167552 has 840 divisors, whose sum is σ = 211902324480. Its totient is φ = 14509393920.

The previous prime is 56035167521. The next prime is 56035167569. The reversal of 56035167552 is 25576153065.

56035167552 is a `hidden beast` number, since 5 + 6 + 0 + 35 + 1 + 67 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56035167498 and 56035167507.

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 119 ways as a sum of consecutive naturals, for example, 234456649 + ... + 234456887.

It is an arithmetic number, because the mean of its divisors is an integer number (252264672).

Almost surely, 2^56035167552 is an apocalyptic number.

56035167552 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 56035167552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105951162240).

56035167552 is an abundant number, since it is smaller than the sum of its proper divisors (155867156928).

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

56035167552 is a wasteful number, since it uses less digits than its factorization.

56035167552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 56035167552 in words is "fifty-six billion, thirty-five million, one hundred sixty-seven thousand, five hundred fifty-two".