25415104000 has 320 divisors, whose sum is σ = 74480357952. Its totient is φ = 8527872000.

The previous prime is 25415103941. The next prime is 25415104009. The reversal of 25415104000 is 40151452.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×25415104000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25415104009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9150612 + ... + 9153388.

Almost surely, 2^25415104000 is an apocalyptic number.

25415104000 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 25415104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37240178976).

25415104000 is an abundant number, since it is smaller than the sum of its proper divisors (49065253952).

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

25415104000 is a wasteful number, since it uses less digits than its factorization.

25415104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 25415104000 its reverse (40151452), we get a palindrome (25455255452).

The spelling of 25415104000 in words is "twenty-five billion, four hundred fifteen million, one hundred four thousand".