25358061960 has 768 divisors, whose sum is σ = 111847680000. Its totient is φ = 4988459520.

The previous prime is 25358061899. The next prime is 25358061961. The reversal of 25358061960 is 6916085352.

25358061960 is a `hidden beast` number, since 2 + 5 + 3 + 580 + 6 + 1 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25358061961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17379711 + ... + 17381169.

It is an arithmetic number, because the mean of its divisors is an integer number (145635000).

Almost surely, 2^25358061960 is an apocalyptic number.

25358061960 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 25358061960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923840000).

25358061960 is an abundant number, since it is smaller than the sum of its proper divisors (86489618040).

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

25358061960 is a wasteful number, since it uses less digits than its factorization.

25358061960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 25358061960 in words is "twenty-five billion, three hundred fifty-eight million, sixty-one thousand, nine hundred sixty".