10291274353248 has 384 divisors, whose sum is σ = 32888633057280. Its totient is φ = 2752375541760.

The previous prime is 10291274353237. The next prime is 10291274353351. The reversal of 10291274353248 is 84235347219201.

It is a self number, because there is not a number n which added to its sum of digits gives 10291274353248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389704461 + ... + 389730867.

It is an arithmetic number, because the mean of its divisors is an integer number (85647481920).

Almost surely, 2^{10291274353248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10291274353248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444316528640).

10291274353248 is an abundant number, since it is smaller than the sum of its proper divisors (22597358704032).

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

10291274353248 is a wasteful number, since it uses less digits than its factorization.

10291274353248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26810 (or 26802 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 10291274353248 in words is "ten trillion, two hundred ninety-one billion, two hundred seventy-four million, three hundred fifty-three thousand, two hundred forty-eight".