25653151920 has 240 divisors, whose sum is σ = 88616265696. Its totient is φ = 6133248000.

The previous prime is 25653151841. The next prime is 25653151933. The reversal of 25653151920 is 2915135652.

It is a tau number, because it is divible by the number of its divisors (240).

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, 2113870 + ... + 2125970.

Almost surely, 2^25653151920 is an apocalyptic number.

25653151920 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 25653151920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44308132848).

25653151920 is an abundant number, since it is smaller than the sum of its proper divisors (62963113776).

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

25653151920 is a wasteful number, since it uses less digits than its factorization.

25653151920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 25653151920 in words is "twenty-five billion, six hundred fifty-three million, one hundred fifty-one thousand, nine hundred twenty".