10785137280 has 128 divisors (see below), whose sum is σ = 36399948480. Its totient is φ = 2706849792.

The previous prime is 10785137273. The next prime is 10785137291. The reversal of 10785137280 is 8273158701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10785137280² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132574 + ... + 197853.

Almost surely, 2^10785137280 is an apocalyptic number.

10785137280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10785137280 is an abundant number, since it is smaller than the sum of its proper divisors (25614811200).

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

10785137280 is a wasteful number, since it uses less digits than its factorization.

10785137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330466 (or 330454 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 10785137280 in words is "ten billion, seven hundred eighty-five million, one hundred thirty-seven thousand, two hundred eighty".