10987799040 has 480 divisors, whose sum is σ = 41824823040. Its totient is φ = 2755067904.

The previous prime is 10987799021. The next prime is 10987799051. The reversal of 10987799040 is 4099778901.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10574841 + ... + 10575879.

It is an arithmetic number, because the mean of its divisors is an integer number (87135048).

Almost surely, 2^10987799040 is an apocalyptic number.

10987799040 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 10987799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912411520).

10987799040 is an abundant number, since it is smaller than the sum of its proper divisors (30837024000).

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

10987799040 is an equidigital number, since it uses as much as digits as its factorization.

10987799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 10987799040 in words is "ten billion, nine hundred eighty-seven million, seven hundred ninety-nine thousand, forty".