25146130460 has 192 divisors, whose sum is σ = 61613927424. Its totient is φ = 8601880320.

The previous prime is 25146130417. The next prime is 25146130517. The reversal of 25146130460 is 6403164152.

It is a super-2 number, since 2×25146130460² (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 63 ways as a sum of consecutive naturals, for example, 41021114 + ... + 41021726.

It is an arithmetic number, because the mean of its divisors is an integer number (320905872).

Almost surely, 2^25146130460 is an apocalyptic number.

25146130460 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 25146130460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30806963712).

25146130460 is an abundant number, since it is smaller than the sum of its proper divisors (36467796964).

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

25146130460 is a wasteful number, since it uses less digits than its factorization.

25146130460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 25146130460 in words is "twenty-five billion, one hundred forty-six million, one hundred thirty thousand, four hundred sixty".