1579086751920 has 160 divisors (see below), whose sum is σ = 5054555725824. Its totient is φ = 407387059200.

The previous prime is 1579086751919. The next prime is 1579086751973. The reversal of 1579086751920 is 291576809751.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26985414 + ... + 27043866.

Almost surely, 2^{1579086751920} is an apocalyptic number.

1579086751920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1579086751920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527277862912).

1579086751920 is an abundant number, since it is smaller than the sum of its proper divisors (3475468973904).

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

1579086751920 is a wasteful number, since it uses less digits than its factorization.

1579086751920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62131 (or 62125 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 60.

The spelling of 1579086751920 in words is "one trillion, five hundred seventy-nine billion, eighty-six million, seven hundred fifty-one thousand, nine hundred twenty".