1090542592800 has 252 divisors, whose sum is σ = 3991606805970. Its totient is φ = 290811202560.

The previous prime is 1090542592793. The next prime is 1090542592801. The reversal of 1090542592800 is 82952450901.

It is a happy number.

1090542592800 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 54 + 2 + 592 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 999944000784 + 90598592016 = 999972^2 + 300996^2 .

It is a super-2 number, since 2×1090542592800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1090542592801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 351765 + ... + 1518164.

Almost surely, 2^{1090542592800} is an apocalyptic number.

1090542592800 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 1090542592800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995803402985).

1090542592800 is an abundant number, since it is smaller than the sum of its proper divisors (2901064213170).

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

1090542592800 is an equidigital number, since it uses as much as digits as its factorization.

1090542592800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869967 (or 1869939 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1090542592800 in words is "one trillion, ninety billion, five hundred forty-two million, five hundred ninety-two thousand, eight hundred".