1579538880 has 448 divisors, whose sum is σ = 5888492160. Its totient is φ = 403107840.

The previous prime is 1579538839. The next prime is 1579538881. The reversal of 1579538880 is 888359751.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1579538881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25894050 + ... + 25894110.

Almost surely, 2^1579538880 is an apocalyptic number.

1579538880 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 1579538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944246080).

1579538880 is an abundant number, since it is smaller than the sum of its proper divisors (4308953280).

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

1579538880 is an frugal number, since it uses more digits than its factorization.

1579538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The square root of 1579538880 is about 39743.4130391440. The cubic root of 1579538880 is about 1164.5999670337.

The spelling of 1579538880 in words is "one billion, five hundred seventy-nine million, five hundred thirty-eight thousand, eight hundred eighty".