10275793920 has 1056 divisors, whose sum is σ = 44692724160. Its totient is φ = 2229534720.

The previous prime is 10275793907. The next prime is 10275793937. The reversal of 10275793920 is 2939757201.

10275793920 is a `hidden beast` number, since 1 + 0 + 27 + 579 + 39 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250629100 + ... + 250629140.

Almost surely, 2^10275793920 is an apocalyptic number.

10275793920 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 10275793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22346362080).

10275793920 is an abundant number, since it is smaller than the sum of its proper divisors (34416930240).

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

10275793920 is a wasteful number, since it uses less digits than its factorization.

10275793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 10275793920 in words is "ten billion, two hundred seventy-five million, seven hundred ninety-three thousand, nine hundred twenty".