10874239488 has 240 divisors, whose sum is σ = 35995392576. Its totient is φ = 3095838720.

The previous prime is 10874239471. The next prime is 10874239531. The reversal of 10874239488 is 88493247801.

It is a happy number.

10874239488 is a `hidden beast` number, since 10 + 87 + 42 + 39 + 488 = 666.

It is a super-5 number, since 5×10874239488⁵ (a number of 51 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14289028 + ... + 14289788.

Almost surely, 2^10874239488 is an apocalyptic number.

10874239488 is a gapful number since it is divisible by the number (18) 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 10874239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17997696288).

10874239488 is an abundant number, since it is smaller than the sum of its proper divisors (25121153088).

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

10874239488 is an equidigital number, since it uses as much as digits as its factorization.

10874239488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10874239488 in words is "ten billion, eight hundred seventy-four million, two hundred thirty-nine thousand, four hundred eighty-eight".