1579735102056 has 128 divisors (see below), whose sum is σ = 4131219697920. Its totient is φ = 502442164224.

The previous prime is 1579735102037. The next prime is 1579735102069. The reversal of 1579735102056 is 6502015379751.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660147196 + ... + 660149588.

It is an arithmetic number, because the mean of its divisors is an integer number (32275153890).

Almost surely, 2^{1579735102056} 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 1579735102056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065609848960).

1579735102056 is an abundant number, since it is smaller than the sum of its proper divisors (2551484595864).

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

1579735102056 is a wasteful number, since it uses less digits than its factorization.

1579735102056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 51.

The spelling of 1579735102056 in words is "one trillion, five hundred seventy-nine billion, seven hundred thirty-five million, one hundred two thousand, fifty-six".