25161920000 has 400 divisors, whose sum is σ = 73632430080. Its totient is φ = 8408064000.

The previous prime is 25161919961. The next prime is 25161920023. The reversal of 25161920000 is 2916152.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105279881 + ... + 105280119.

Almost surely, 2^25161920000 is an apocalyptic number.

25161920000 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 25161920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36816215040).

25161920000 is an abundant number, since it is smaller than the sum of its proper divisors (48470510080).

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

25161920000 is an frugal number, since it uses more digits than its factorization.

25161920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 25161920000 in words is "twenty-five billion, one hundred sixty-one million, nine hundred twenty thousand".