25258390240 has 144 divisors (see below), whose sum is σ = 65720598048. Its totient is φ = 9154962432.

The previous prime is 25258390229. The next prime is 25258390249. The reversal of 25258390240 is 4209385252.

It is a super-2 number, since 2×25258390240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25258390193 and 25258390202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25258390249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318974 + ... + 1337986.

It is an arithmetic number, because the mean of its divisors is an integer number (456393042).

Almost surely, 2^25258390240 is an apocalyptic number.

25258390240 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 25258390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32860299024).

25258390240 is an abundant number, since it is smaller than the sum of its proper divisors (40462207808).

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

25258390240 is a wasteful number, since it uses less digits than its factorization.

25258390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19089 (or 19062 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 25258390240 in words is "twenty-five billion, two hundred fifty-eight million, three hundred ninety thousand, two hundred forty".