25752760000 has 280 divisors, whose sum is σ = 70443400896. Its totient is φ = 9260160000.

The previous prime is 25752759997. The next prime is 25752760009. The reversal of 25752760000 is 6725752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25752760009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47079727 + ... + 47080273.

Almost surely, 2^25752760000 is an apocalyptic number.

25752760000 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 25752760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35221700448).

25752760000 is an abundant number, since it is smaller than the sum of its proper divisors (44690640896).

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

25752760000 is a wasteful number, since it uses less digits than its factorization.

25752760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The spelling of 25752760000 in words is "twenty-five billion, seven hundred fifty-two million, seven hundred sixty thousand".