10275722880 has 512 divisors, whose sum is σ = 37060761600. Its totient is φ = 2408693760.

The previous prime is 10275722837. The next prime is 10275722909. The reversal of 10275722880 is 8822757201.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31044315 + ... + 31044645.

It is an arithmetic number, because the mean of its divisors is an integer number (72384300).

Almost surely, 2^10275722880 is an apocalyptic number.

10275722880 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 10275722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18530380800).

10275722880 is an abundant number, since it is smaller than the sum of its proper divisors (26785038720).

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

10275722880 is a wasteful number, since it uses less digits than its factorization.

10275722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The spelling of 10275722880 in words is "ten billion, two hundred seventy-five million, seven hundred twenty-two thousand, eight hundred eighty".