10402865280 has 192 divisors, whose sum is σ = 36260265600. Its totient is φ = 2748008448.

The previous prime is 10402865243. The next prime is 10402865299. The reversal of 10402865280 is 8256820401.

10402865280 is a `hidden beast` number, since 10 + 40 + 2 + 86 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607881 + ... + 624759.

It is an arithmetic number, because the mean of its divisors is an integer number (188855550).

Almost surely, 2^10402865280 is an apocalyptic number.

10402865280 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 10402865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18130132800).

10402865280 is an abundant number, since it is smaller than the sum of its proper divisors (25857400320).

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

10402865280 is a wasteful number, since it uses less digits than its factorization.

10402865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011 (or 16996 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10402865280 in words is "ten billion, four hundred two million, eight hundred sixty-five thousand, two hundred eighty".