25513367040 has 1080 divisors, whose sum is σ = 110177001792. Its totient is φ = 5643509760.

The previous prime is 25513367039. The next prime is 25513367069. The reversal of 25513367040 is 4076331552.

25513367040 is a `hidden beast` number, since 2 + 5 + 513 + 36 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25513366986 and 25513367004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 823011825 + ... + 823011855.

Almost surely, 2^25513367040 is an apocalyptic number.

25513367040 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 25513367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55088500896).

25513367040 is an abundant number, since it is smaller than the sum of its proper divisors (84663634752).

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

25513367040 is an frugal number, since it uses more digits than its factorization.

25513367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 25513367040 its reverse (4076331552), we get a palindrome (29589698592).

The spelling of 25513367040 in words is "twenty-five billion, five hundred thirteen million, three hundred sixty-seven thousand, forty".