10625250253260 has 192 divisors, whose sum is σ = 33166652359680. Its totient is φ = 2525767557120.

The previous prime is 10625250253253. The next prime is 10625250253307. The reversal of 10625250253260 is 6235205252601.

It is a super-2 number, since 2×10625250253260² (a number of 27 digits) contains 22 as substring.

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, 83212065 + ... + 83339655.

It is an arithmetic number, because the mean of its divisors is an integer number (172742981040).

Almost surely, 2^{10625250253260} is an apocalyptic number.

10625250253260 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 10625250253260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16583326179840).

10625250253260 is an abundant number, since it is smaller than the sum of its proper divisors (22541402106420).

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

10625250253260 is a wasteful number, since it uses less digits than its factorization.

10625250253260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131936 (or 131934 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 10625250253260 in words is "ten trillion, six hundred twenty-five billion, two hundred fifty million, two hundred fifty-three thousand, two hundred sixty".