25701960000 has 560 divisors, whose sum is σ = 92381978304. Its totient is φ = 6279168000.

The previous prime is 25701959971. The next prime is 25701960001. The reversal of 25701960000 is 6910752.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 25701960000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25701960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87719854 + ... + 87720146.

Almost surely, 2^25701960000 is an apocalyptic number.

25701960000 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 25701960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46190989152).

25701960000 is an abundant number, since it is smaller than the sum of its proper divisors (66680018304).

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

25701960000 is a wasteful number, since it uses less digits than its factorization.

25701960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 25701960000 in words is "twenty-five billion, seven hundred one million, nine hundred sixty thousand".