1089093022752 has 576 divisors, whose sum is σ = 3771699240960. Its totient is φ = 268473139200.

The previous prime is 1089093022747. The next prime is 1089093022753. The reversal of 1089093022752 is 2572203909801.

It is a super-2 number, since 2×1089093022752² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1089093022753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114383752 + ... + 114393272.

It is an arithmetic number, because the mean of its divisors is an integer number (6548088960).

Almost surely, 2^{1089093022752} is an apocalyptic number.

1089093022752 is a gapful number since it is divisible by the number (12) 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 1089093022752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885849620480).

1089093022752 is an abundant number, since it is smaller than the sum of its proper divisors (2682606218208).

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

1089093022752 is a wasteful number, since it uses less digits than its factorization.

1089093022752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9625 (or 9600 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 1089093022752 in words is "one trillion, eighty-nine billion, ninety-three million, twenty-two thousand, seven hundred fifty-two".