25347661920 has 576 divisors, whose sum is σ = 101267712000. Its totient is φ = 5654458368.

The previous prime is 25347661919. The next prime is 25347661931. The reversal of 25347661920 is 2916674352.

25347661920 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 7 + 6 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110688366 + ... + 110688594.

It is an arithmetic number, because the mean of its divisors is an integer number (175812000).

Almost surely, 2^25347661920 is an apocalyptic number.

25347661920 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 25347661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856000).

25347661920 is an abundant number, since it is smaller than the sum of its proper divisors (75920050080).

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

25347661920 is a wasteful number, since it uses less digits than its factorization.

25347661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 25347661920 in words is "twenty-five billion, three hundred forty-seven million, six hundred sixty-one thousand, nine hundred twenty".