10251996768 has 192 divisors, whose sum is σ = 32459857920. Its totient is φ = 3129186816.

The previous prime is 10251996751. The next prime is 10251996773. The reversal of 10251996768 is 86769915201.

10251996768 is a `hidden beast` number, since 1 + 0 + 2 + 519 + 9 + 67 + 68 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1422871 + ... + 1430057.

It is an arithmetic number, because the mean of its divisors is an integer number (169061760).

Almost surely, 2^10251996768 is an apocalyptic number.

10251996768 is a gapful number since it is divisible by the number (18) 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 10251996768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16229928960).

10251996768 is an abundant number, since it is smaller than the sum of its proper divisors (22207861152).

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

10251996768 is a wasteful number, since it uses less digits than its factorization.

10251996768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 7332 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 10251996768 in words is "ten billion, two hundred fifty-one million, nine hundred ninety-six thousand, seven hundred sixty-eight".