25025540505408 has 336 divisors, whose sum is σ = 76293633926016. Its totient is φ = 7825381724160.

The previous prime is 25025540505341. The next prime is 25025540505451. The reversal of 25025540505408 is 80450504552052.

25025540505408 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 5 + 54 + 0 + 50 + 540 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2153469838 + ... + 2153481458.

Almost surely, 2^{25025540505408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25025540505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38146816963008).

25025540505408 is an abundant number, since it is smaller than the sum of its proper divisors (51268093420608).

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

25025540505408 is a wasteful number, since it uses less digits than its factorization.

25025540505408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14782 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

The spelling of 25025540505408 in words is "twenty-five trillion, twenty-five billion, five hundred forty million, five hundred five thousand, four hundred eight".