10761924096 has 480 divisors, whose sum is σ = 39577824000. Its totient is φ = 2790789120.

The previous prime is 10761924067. The next prime is 10761924113. The reversal of 10761924096 is 69042916701.

10761924096 is a `hidden beast` number, since 1 + 0 + 7 + 619 + 24 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17385675 + ... + 17386293.

It is an arithmetic number, because the mean of its divisors is an integer number (82453800).

Almost surely, 2^10761924096 is an apocalyptic number.

10761924096 is a gapful number since it is divisible by the number (16) 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 10761924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788912000).

10761924096 is an abundant number, since it is smaller than the sum of its proper divisors (28815899904).

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

10761924096 is an equidigital number, since it uses as much as digits as its factorization.

10761924096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10761924096 in words is "ten billion, seven hundred sixty-one million, nine hundred twenty-four thousand, ninety-six".