10225798632 has 576 divisors, whose sum is σ = 36137088000. Its totient is φ = 2606204160.

The previous prime is 10225798603. The next prime is 10225798633. The reversal of 10225798632 is 23689752201.

10225798632 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 7 + 9 + 8 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (10225798633) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 276372918 + ... + 276372954.

It is an arithmetic number, because the mean of its divisors is an integer number (62738000).

Almost surely, 2^10225798632 is an apocalyptic number.

10225798632 is a gapful number since it is divisible by the number (12) 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 10225798632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544000).

10225798632 is an abundant number, since it is smaller than the sum of its proper divisors (25911289368).

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

10225798632 is a wasteful number, since it uses less digits than its factorization.

10225798632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10225798632 in words is "ten billion, two hundred twenty-five million, seven hundred ninety-eight thousand, six hundred thirty-two".