1081697587200 has 936 divisors, whose sum is σ = 4159225980000. Its totient is φ = 278320250880.

The previous prime is 1081697587189. The next prime is 1081697587261. The reversal of 1081697587200 is 27857961801.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 721612051 + ... + 721613549.

It is an arithmetic number, because the mean of its divisors is an integer number (4443617500).

Almost surely, 2^{1081697587200} is an apocalyptic number.

1081697587200 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 1081697587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079612990000).

1081697587200 is an abundant number, since it is smaller than the sum of its proper divisors (3077528392800).

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

1081697587200 is an equidigital number, since it uses as much as digits as its factorization.

1081697587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 1081697587200 in words is "one trillion, eighty-one billion, six hundred ninety-seven million, five hundred eighty-seven thousand, two hundred".