1579250120448 has 864 divisors, whose sum is σ = 5985963558400. Its totient is φ = 358676398080.

The previous prime is 1579250120431. The next prime is 1579250120473. The reversal of 1579250120448 is 8440210529751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1579250120397 and 1579250120406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160667598 + ... + 160677426.

Almost surely, 2^{1579250120448} 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 1579250120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992981779200).

1579250120448 is an abundant number, since it is smaller than the sum of its proper divisors (4406713437952).

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

1579250120448 is a wasteful number, since it uses less digits than its factorization.

1579250120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909 (or 9884 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 1579250120448 in words is "one trillion, five hundred seventy-nine billion, two hundred fifty million, one hundred twenty thousand, four hundred forty-eight".