25135003608000 has 2688 divisors, whose sum is σ = 107257311682560. Its totient is φ = 5118197760000.

The previous prime is 25135003607891. The next prime is 25135003608019. The reversal of 25135003608000 is 80630053152.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23512631466 + ... + 23512632534.

Almost surely, 2^{25135003608000} is an apocalyptic number.

25135003608000 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 25135003608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53628655841280).

25135003608000 is an abundant number, since it is smaller than the sum of its proper divisors (82122308074560).

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

25135003608000 is a wasteful number, since it uses less digits than its factorization.

25135003608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 25135003608000 in words is "twenty-five trillion, one hundred thirty-five billion, three million, six hundred eight thousand".