10338572160 has 512 divisors, whose sum is σ = 42238771200. Its totient is φ = 2341011456.

The previous prime is 10338572143. The next prime is 10338572171. The reversal of 10338572160 is 6127583301.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15361584 + ... + 15362256.

It is an arithmetic number, because the mean of its divisors is an integer number (82497600).

Almost surely, 2^10338572160 is an apocalyptic number.

10338572160 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 10338572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21119385600).

10338572160 is an abundant number, since it is smaller than the sum of its proper divisors (31900199040).

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

10338572160 is a wasteful number, since it uses less digits than its factorization.

10338572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10338572160 in words is "ten billion, three hundred thirty-eight million, five hundred seventy-two thousand, one hundred sixty".