56438262720 has 1344 divisors, whose sum is σ = 248521728000. Its totient is φ = 11705057280.

The previous prime is 56438262697. The next prime is 56438262767. The reversal of 56438262720 is 2726283465.

56438262720 is a `hidden beast` number, since 564 + 3 + 8 + 2 + 62 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 581837712 + ... + 581837808.

It is an arithmetic number, because the mean of its divisors is an integer number (184912000).

Almost surely, 2^56438262720 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 56438262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124260864000).

56438262720 is an abundant number, since it is smaller than the sum of its proper divisors (192083465280).

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

56438262720 is a wasteful number, since it uses less digits than its factorization.

56438262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 56438262720 in words is "fifty-six billion, four hundred thirty-eight million, two hundred sixty-two thousand, seven hundred twenty".