25163045040 has 240 divisors, whose sum is σ = 94703438592. Its totient is φ = 5413122048.

The previous prime is 25163045009. The next prime is 25163045059. The reversal of 25163045040 is 4054036152.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25163044989 and 25163045007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459607 + ... + 511433.

Almost surely, 2^25163045040 is an apocalyptic number.

25163045040 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 25163045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47351719296).

25163045040 is an abundant number, since it is smaller than the sum of its proper divisors (69540393552).

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

25163045040 is a wasteful number, since it uses less digits than its factorization.

25163045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51884 (or 51861 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 25163045040 in words is "twenty-five billion, one hundred sixty-three million, forty-five thousand, forty".