25236973440 has 1024 divisors, whose sum is σ = 109670400000. Its totient is φ = 5356855296.

The previous prime is 25236973439. The next prime is 25236973453. The reversal of 25236973440 is 4437963252.

25236973440 is a `hidden beast` number, since 2 + 523 + 6 + 97 + 34 + 4 + 0 = 666.

It is a super-2 number, since 2×25236973440² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181560891 + ... + 181561029.

It is an arithmetic number, because the mean of its divisors is an integer number (107100000).

Almost surely, 2^25236973440 is an apocalyptic number.

25236973440 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 25236973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54835200000).

25236973440 is an abundant number, since it is smaller than the sum of its proper divisors (84433426560).

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

25236973440 is a wasteful number, since it uses less digits than its factorization.

25236973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 25236973440 in words is "twenty-five billion, two hundred thirty-six million, nine hundred seventy-three thousand, four hundred forty".