10291968000 has 384 divisors, whose sum is σ = 38073672000. Its totient is φ = 2742681600.

The previous prime is 10291967993. The next prime is 10291968053. The reversal of 10291968000 is 86919201.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911256 + ... + 6912744.

Almost surely, 2^10291968000 is an apocalyptic number.

10291968000 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 10291968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036836000).

10291968000 is an abundant number, since it is smaller than the sum of its proper divisors (27781704000).

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

10291968000 is an equidigital number, since it uses as much as digits as its factorization.

10291968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10291968000 in words is "ten billion, two hundred ninety-one million, nine hundred sixty-eight thousand".