10749700299240 has 3072 divisors, whose sum is σ = 49854735360000. Its totient is φ = 2036178321408.

The previous prime is 10749700299133. The next prime is 10749700299281. The reversal of 10749700299240 is 4299200794701.

10749700299240 is a `hidden beast` number, since 1 + 0 + 7 + 49 + 70 + 0 + 299 + 240 = 666.

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 767 ways as a sum of consecutive naturals, for example, 14546278791 + ... + 14546279529.

It is an arithmetic number, because the mean of its divisors is an integer number (16228755000).

Almost surely, 2^{10749700299240} is an apocalyptic number.

10749700299240 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 10749700299240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24927367680000).

10749700299240 is an abundant number, since it is smaller than the sum of its proper divisors (39105035060760).

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

10749700299240 is a wasteful number, since it uses less digits than its factorization.

10749700299240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 852 counting only the distinct ones).

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

The spelling of 10749700299240 in words is "ten trillion, seven hundred forty-nine billion, seven hundred million, two hundred ninety-nine thousand, two hundred forty".