25927413120 has 960 divisors, whose sum is σ = 110167160400. Its totient is φ = 5792145408.

The previous prime is 25927413103. The next prime is 25927413121. The reversal of 25927413120 is 2131472952.

25927413120 is a `hidden beast` number, since 2 + 592 + 7 + 41 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25927413121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 149869354 + ... + 149869526.

Almost surely, 2^25927413120 is an apocalyptic number.

25927413120 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 25927413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55083580200).

25927413120 is an abundant number, since it is smaller than the sum of its proper divisors (84239747280).

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

25927413120 is a wasteful number, since it uses less digits than its factorization.

25927413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 25927413120 in words is "twenty-five billion, nine hundred twenty-seven million, four hundred thirteen thousand, one hundred twenty".