25093120000 has 420 divisors, whose sum is σ = 70245225270. Its totient is φ = 8945664000.

The previous prime is 25093119983. The next prime is 25093120007. The reversal of 25093120000 is 2139052.

It can be written as a sum of positive squares in 15 ways, for example, as 18986635264 + 6106484736 = 137792^2 + 78144^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25093120007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 865279986 + ... + 865280014.

Almost surely, 2^25093120000 is an apocalyptic number.

25093120000 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 25093120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35122612635).

25093120000 is an abundant number, since it is smaller than the sum of its proper divisors (45152105270).

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

25093120000 is an frugal number, since it uses more digits than its factorization.

25093120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 25093120000 its reverse (2139052), we get a palindrome (25095259052).

The spelling of 25093120000 in words is "twenty-five billion, ninety-three million, one hundred twenty thousand".