1089931374720 has 768 divisors, whose sum is σ = 4003408281600. Its totient is φ = 272676298752.

The previous prime is 1089931374689. The next prime is 1089931374853. The reversal of 1089931374720 is 274731399801.

1089931374720 is a `hidden beast` number, since 1 + 0 + 89 + 93 + 1 + 3 + 7 + 472 + 0 = 666.

1089931374720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2333899927 + ... + 2333900393.

It is an arithmetic number, because the mean of its divisors is an integer number (5212771200).

Almost surely, 2^{1089931374720} is an apocalyptic number.

1089931374720 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 1089931374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001704140800).

1089931374720 is an abundant number, since it is smaller than the sum of its proper divisors (2913476906880).

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

1089931374720 is a wasteful number, since it uses less digits than its factorization.

1089931374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1089931374720 in words is "one trillion, eighty-nine billion, nine hundred thirty-one million, three hundred seventy-four thousand, seven hundred twenty".