25735734504 has 256 divisors, whose sum is σ = 76564224000. Its totient is φ = 7994972160.

The previous prime is 25735734503. The next prime is 25735734523. The reversal of 25735734504 is 40543753752.

25735734504 is a `hidden beast` number, since 2 + 5 + 73 + 5 + 73 + 4 + 504 = 666.

It is a super-2 number, since 2×25735734504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25735734504.

It is not an unprimeable number, because it can be changed into a prime (25735734503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27004492 + ... + 27005444.

It is an arithmetic number, because the mean of its divisors is an integer number (299079000).

Almost surely, 2^25735734504 is an apocalyptic number.

25735734504 is a gapful number since it is divisible by the number (24) 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 25735734504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38282112000).

25735734504 is an abundant number, since it is smaller than the sum of its proper divisors (50828489496).

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

25735734504 is a wasteful number, since it uses less digits than its factorization.

25735734504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 25735734504 in words is "twenty-five billion, seven hundred thirty-five million, seven hundred thirty-four thousand, five hundred four".