25538595840 has 352 divisors, whose sum is σ = 93231188160. Its totient is φ = 6624903168.

The previous prime is 25538595827. The next prime is 25538595889. The reversal of 25538595840 is 4859583552.

It is a happy number.

25538595840 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 8 + 59 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5112384 + ... + 5117376.

It is an arithmetic number, because the mean of its divisors is an integer number (264861330).

Almost surely, 2^25538595840 is an apocalyptic number.

25538595840 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 25538595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46615594080).

25538595840 is an abundant number, since it is smaller than the sum of its proper divisors (67692592320).

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

25538595840 is a wasteful number, since it uses less digits than its factorization.

25538595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 25538595840 in words is "twenty-five billion, five hundred thirty-eight million, five hundred ninety-five thousand, eight hundred forty".