25734275000 has 192 divisors, whose sum is σ = 69295564800. Its totient is φ = 8776080000.

The previous prime is 25734274987. The next prime is 25734275009. The reversal of 25734275000 is 57243752.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25734275009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53724761 + ... + 53725239.

It is an arithmetic number, because the mean of its divisors is an integer number (360914400).

Almost surely, 2^25734275000 is an apocalyptic number.

25734275000 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 25734275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34647782400).

25734275000 is an abundant number, since it is smaller than the sum of its proper divisors (43561289800).

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

25734275000 is an equidigital number, since it uses as much as digits as its factorization.

25734275000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The spelling of 25734275000 in words is "twenty-five billion, seven hundred thirty-four million, two hundred seventy-five thousand".