10753972992 has 288 divisors, whose sum is σ = 37125580800. Its totient is φ = 3006554112.

The previous prime is 10753972991. The next prime is 10753973051. The reversal of 10753972992 is 29927935701.

10753972992 is a `hidden beast` number, since 10 + 7 + 539 + 7 + 2 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10753972992² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10753972991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2271684 + ... + 2276412.

Almost surely, 2^10753972992 is an apocalyptic number.

10753972992 is a gapful number since it is divisible by the number (12) 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 10753972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562790400).

10753972992 is an abundant number, since it is smaller than the sum of its proper divisors (26371607808).

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

10753972992 is an equidigital number, since it uses as much as digits as its factorization.

10753972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 10753972992 in words is "ten billion, seven hundred fifty-three million, nine hundred seventy-two thousand, nine hundred ninety-two".