25345511000 has 64 divisors (see below), whose sum is σ = 59574977280. Its totient is φ = 10092652800.

The previous prime is 25345510979. The next prime is 25345511011. The reversal of 25345511000 is 11554352.

It is a super-2 number, since 2×25345511000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166172 + ... + 279828.

It is an arithmetic number, because the mean of its divisors is an integer number (930859020).

Almost surely, 2^25345511000 is an apocalyptic number.

25345511000 is a gapful number since it is divisible by the number (20) 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 25345511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29787488640).

25345511000 is an abundant number, since it is smaller than the sum of its proper divisors (34229466280).

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

25345511000 is a wasteful number, since it uses less digits than its factorization.

25345511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113901 (or 113887 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 25345511000 in words is "twenty-five billion, three hundred forty-five million, five hundred eleven thousand".