10025575560 has 768 divisors, whose sum is σ = 44834549760. Its totient is φ = 1875363840.

The previous prime is 10025575487. The next prime is 10025575579. The reversal of 10025575560 is 6557552001.

It is a happy number.

10025575560 is a `hidden beast` number, since 1 + 0 + 0 + 25 + 5 + 75 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15495157 + ... + 15495803.

It is an arithmetic number, because the mean of its divisors is an integer number (58378320).

Almost surely, 2^10025575560 is an apocalyptic number.

10025575560 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 10025575560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417274880).

10025575560 is an abundant number, since it is smaller than the sum of its proper divisors (34808974200).

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

10025575560 is a wasteful number, since it uses less digits than its factorization.

10025575560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

It can be divided in two parts, 10025 and 575560, that added together give a palindrome (585585).

The spelling of 10025575560 in words is "ten billion, twenty-five million, five hundred seventy-five thousand, five hundred sixty".