10799149088 has 288 divisors, whose sum is σ = 28755119232. Its totient is φ = 3874037760.

The previous prime is 10799149087. The next prime is 10799149117. The reversal of 10799149088 is 88094199701.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (10799149087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47573231 + ... + 47573457.

It is an arithmetic number, because the mean of its divisors is an integer number (99844164).

Almost surely, 2^10799149088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10799149088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377559616).

10799149088 is an abundant number, since it is smaller than the sum of its proper divisors (17955970144).

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

10799149088 is a wasteful number, since it uses less digits than its factorization.

10799149088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 56.

The spelling of 10799149088 in words is "ten billion, seven hundred ninety-nine million, one hundred forty-nine thousand, eighty-eight".