1580121600 has 120 divisors (see below), whose sum is σ = 5219959800. Its totient is φ = 421355520.

The previous prime is 1580121589. The next prime is 1580121611. The reversal of 1580121600 is 61210851.

It is an interprime number because it is at equal distance from previous prime (1580121589) and next prime (1580121611).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17826 + ... + 58974.

It is an arithmetic number, because the mean of its divisors is an integer number (43499665).

Almost surely, 2^1580121600 is an apocalyptic number.

1580121600 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 1580121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609979900).

1580121600 is an abundant number, since it is smaller than the sum of its proper divisors (3639838200).

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

1580121600 is an equidigital number, since it uses as much as digits as its factorization.

1580121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41180 (or 41159 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1580121600 is about 39750.7433892751. The cubic root of 1580121600 is about 1164.7431633097.

It can be divided in two parts, 15801 and 21600, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 1580121600 in words is "one billion, five hundred eighty million, one hundred twenty-one thousand, six hundred".