10749675888000 has 1280 divisors, whose sum is σ = 45726185831040. Its totient is φ = 2451791462400.

The previous prime is 10749675887987. The next prime is 10749675888109. The reversal of 10749675888000 is 88857694701.

10749675888000 is a `hidden beast` number, since 1 + 0 + 7 + 49 + 6 + 7 + 588 + 8 + 0 + 0 + 0 = 666.

10749675888000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5561135034 + ... + 5561136966.

Almost surely, 2^{10749675888000} is an apocalyptic number.

10749675888000 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 10749675888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22863092915520).

10749675888000 is an abundant number, since it is smaller than the sum of its proper divisors (34976509943040).

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

10749675888000 is an equidigital number, since it uses as much as digits as its factorization.

10749675888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 10749675888000 in words is "ten trillion, seven hundred forty-nine billion, six hundred seventy-five million, eight hundred eighty-eight thousand".