10753159968000 has 576 divisors, whose sum is σ = 40965401917440. Its totient is φ = 2775002112000.

The previous prime is 10753159967993. The next prime is 10753159968041. The reversal of 10753159968000 is 86995135701.

10753159968000 is a `hidden beast` number, since 10 + 7 + 5 + 31 + 599 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10753159968000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26583262 + ... + 26984738.

It is an arithmetic number, because the mean of its divisors is an integer number (71120489440).

Almost surely, 2^{10753159968000} is an apocalyptic number.

10753159968000 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 10753159968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482700958720).

10753159968000 is an abundant number, since it is smaller than the sum of its proper divisors (30212241949440).

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

10753159968000 is an equidigital number, since it uses as much as digits as its factorization.

10753159968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401548 (or 401518 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 10753159968000 in words is "ten trillion, seven hundred fifty-three billion, one hundred fifty-nine million, nine hundred sixty-eight thousand".