10257634746324 has 168 divisors, whose sum is σ = 30904622847168. Its totient is φ = 2916861736320.

The previous prime is 10257634746311. The next prime is 10257634746341. The reversal of 10257634746324 is 42364743675201.

10257634746324 is a `hidden beast` number, since 1 + 0 + 2 + 57 + 63 + 474 + 63 + 2 + 4 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3116104 + ... + 5497760.

It is an arithmetic number, because the mean of its divisors is an integer number (183956088376).

Almost surely, 2^{10257634746324} is an apocalyptic number.

10257634746324 is a gapful number since it is divisible by the number (14) 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 10257634746324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452311423584).

10257634746324 is an abundant number, since it is smaller than the sum of its proper divisors (20646988100844).

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

10257634746324 is a wasteful number, since it uses less digits than its factorization.

10257634746324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381897 (or 2381880 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 10257634746324 in words is "ten trillion, two hundred fifty-seven billion, six hundred thirty-four million, seven hundred forty-six thousand, three hundred twenty-four".