10393514880 has 256 divisors, whose sum is σ = 38036044800. Its totient is φ = 2364751872.

The previous prime is 10393514867. The next prime is 10393514903. The reversal of 10393514880 is 8841539301.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 3129861 + ... + 3133179.

It is an arithmetic number, because the mean of its divisors is an integer number (148578300).

Almost surely, 2^10393514880 is an apocalyptic number.

10393514880 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 10393514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19018022400).

10393514880 is an abundant number, since it is smaller than the sum of its proper divisors (27642529920).

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

10393514880 is a wasteful number, since it uses less digits than its factorization.

10393514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 10393514880 in words is "ten billion, three hundred ninety-three million, five hundred fourteen thousand, eight hundred eighty".