25894235520 has 768 divisors, whose sum is σ = 98802063360. Its totient is φ = 6469632000.

The previous prime is 25894235513. The next prime is 25894235527. The reversal of 25894235520 is 2553249852.

25894235520 is a `hidden beast` number, since 2 + 5 + 8 + 94 + 2 + 3 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25894235513) and next prime (25894235527).

It is a super-2 number, since 2×25894235520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25894235527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197665855 + ... + 197665985.

It is an arithmetic number, because the mean of its divisors is an integer number (128648520).

Almost surely, 2^25894235520 is an apocalyptic number.

25894235520 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 25894235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49401031680).

25894235520 is an abundant number, since it is smaller than the sum of its proper divisors (72907827840).

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

25894235520 is a wasteful number, since it uses less digits than its factorization.

25894235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 25894235520 in words is "twenty-five billion, eight hundred ninety-four million, two hundred thirty-five thousand, five hundred twenty".