56429950752 has 864 divisors, whose sum is σ = 211099089600. Its totient is φ = 14579066880.

The previous prime is 56429950741. The next prime is 56429950777. The reversal of 56429950752 is 25705992465.

56429950752 is a `hidden beast` number, since 5 + 6 + 42 + 99 + 507 + 5 + 2 = 666.

56429950752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 773012988 + ... + 773013060.

It is an arithmetic number, because the mean of its divisors is an integer number (244327650).

Almost surely, 2^56429950752 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 56429950752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105549544800).

56429950752 is an abundant number, since it is smaller than the sum of its proper divisors (154669138848).

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

56429950752 is a wasteful number, since it uses less digits than its factorization.

56429950752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 56429950752 in words is "fifty-six billion, four hundred twenty-nine million, nine hundred fifty thousand, seven hundred fifty-two".