56819141280 has 720 divisors, whose sum is σ = 232133156640. Its totient is φ = 13042529280.

The previous prime is 56819141243. The next prime is 56819141303. The reversal of 56819141280 is 8214191865.

It is a happy number.

56819141280 is a `hidden beast` number, since 568 + 1 + 9 + 1 + 4 + 1 + 2 + 80 = 666.

56819141280 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 (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29794087 + ... + 29795993.

It is an arithmetic number, because the mean of its divisors is an integer number (322407162).

Almost surely, 2^56819141280 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 56819141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116066578320).

56819141280 is an abundant number, since it is smaller than the sum of its proper divisors (175314015360).

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

56819141280 is a wasteful number, since it uses less digits than its factorization.

56819141280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 56819141280 in words is "fifty-six billion, eight hundred nineteen million, one hundred forty-one thousand, two hundred eighty".