10874538240 has 432 divisors, whose sum is σ = 37951683840. Its totient is φ = 2651586560.

The previous prime is 10874538211. The next prime is 10874538289. The reversal of 10874538240 is 4283547801.

It is a junction number, because it is equal to n+sod(n) for n = 10874538192 and 10874538201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45500041 + ... + 45500279.

It is an arithmetic number, because the mean of its divisors is an integer number (87851120).

Almost surely, 2^10874538240 is an apocalyptic number.

10874538240 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 10874538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975841920).

10874538240 is an abundant number, since it is smaller than the sum of its proper divisors (27077145600).

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

10874538240 is a wasteful number, since it uses less digits than its factorization.

10874538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 10874538240 in words is "ten billion, eight hundred seventy-four million, five hundred thirty-eight thousand, two hundred forty".