1081580253600 has 1152 divisors, whose sum is σ = 4624504012800. Its totient is φ = 217437696000.

The previous prime is 1081580253547. The next prime is 1081580253643. The reversal of 1081580253600 is 63520851801.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280709274 + ... + 280713126.

It is an arithmetic number, because the mean of its divisors is an integer number (4014326400).

Almost surely, 2^{1081580253600} is an apocalyptic number.

1081580253600 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 1081580253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312252006400).

1081580253600 is an abundant number, since it is smaller than the sum of its proper divisors (3542923759200).

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

1081580253600 is a wasteful number, since it uses less digits than its factorization.

1081580253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 1081580253600 in words is "one trillion, eighty-one billion, five hundred eighty million, two hundred fifty-three thousand, six hundred".