10057225280 has 112 divisors (see below), whose sum is σ = 24873752640. Its totient is φ = 3870332928.

The previous prime is 10057225273. The next prime is 10057225289. The reversal of 10057225280 is 8252275001.

It is a happy number.

It is a super-2 number, since 2×10057225280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10057225289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916466 + ... + 927374.

Almost surely, 2^10057225280 is an apocalyptic number.

10057225280 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 10057225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436876320).

10057225280 is an abundant number, since it is smaller than the sum of its proper divisors (14816527360).

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

10057225280 is a wasteful number, since it uses less digits than its factorization.

10057225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The spelling of 10057225280 in words is "ten billion, fifty-seven million, two hundred twenty-five thousand, two hundred eighty".