10753811712 has 432 divisors, whose sum is σ = 37080056832. Its totient is φ = 2932899840.

The previous prime is 10753811699. The next prime is 10753811723. The reversal of 10753811712 is 21711835701.

10753811712 is a `hidden beast` number, since 1 + 0 + 7 + 538 + 117 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68495538 + ... + 68495694.

Almost surely, 2^10753811712 is an apocalyptic number.

10753811712 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 10753811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540028416).

10753811712 is an abundant number, since it is smaller than the sum of its proper divisors (26326245120).

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

10753811712 is a wasteful number, since it uses less digits than its factorization.

10753811712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 10753811712 in words is "ten billion, seven hundred fifty-three million, eight hundred eleven thousand, seven hundred twelve".