10253926674432 has 416 divisors, whose sum is σ = 34738877621760. Its totient is φ = 2927936471040.

The previous prime is 10253926674403. The next prime is 10253926674451. The reversal of 10253926674432 is 23447662935201.

10253926674432 is a `hidden beast` number, since 1 + 0 + 2 + 53 + 92 + 6 + 6 + 74 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1843234083 + ... + 1843239645.

It is an arithmetic number, because the mean of its divisors is an integer number (83506917360).

Almost surely, 2^{10253926674432} is an apocalyptic number.

10253926674432 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 10253926674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17369438810880).

10253926674432 is an abundant number, since it is smaller than the sum of its proper divisors (24484950947328).

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

10253926674432 is an equidigital number, since it uses as much as digits as its factorization.

10253926674432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 10253926674432 in words is "ten trillion, two hundred fifty-three billion, nine hundred twenty-six million, six hundred seventy-four thousand, four hundred thirty-two".