10757682804960 has 4320 divisors, whose sum is σ = 53151248515680. Its totient is φ = 2023804403712.

The previous prime is 10757682804937. The next prime is 10757682804991. The reversal of 10757682804960 is 6940828675701.

10757682804960 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 7 + 68 + 2 + 80 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 566193831831 + ... + 566193831849.

It is an arithmetic number, because the mean of its divisors is an integer number (12303529749).

Almost surely, 2^{10757682804960} is an apocalyptic number.

10757682804960 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 10757682804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26575624257840).

10757682804960 is an abundant number, since it is smaller than the sum of its proper divisors (42393565710720).

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

10757682804960 is a wasteful number, since it uses less digits than its factorization.

10757682804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 10757682804960 in words is "ten trillion, seven hundred fifty-seven billion, six hundred eighty-two million, eight hundred four thousand, nine hundred sixty".