25845237000000 has 2058 divisors, whose sum is σ = 106010121998382. Its totient is φ = 6244128000000.

The previous prime is 25845236999999. The next prime is 25845237000031. The reversal of 25845237000000 is 73254852.

25845237000000 is a `hidden beast` number, since 2 + 584 + 5 + 2 + 3 + 70 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 24353751242304 + 1491485757696 = 4934952^2 + 1221264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 293 ways as a sum of consecutive naturals, for example, 88208999854 + ... + 88209000146.

It is an arithmetic number, because the mean of its divisors is an integer number (51511235179).

Almost surely, 2^{25845237000000} is an apocalyptic number.

25845237000000 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 25845237000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53005060999191).

25845237000000 is an abundant number, since it is smaller than the sum of its proper divisors (80164884998382).

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

25845237000000 is an frugal number, since it uses more digits than its factorization.

25845237000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 25845237000000 in words is "twenty-five trillion, eight hundred forty-five billion, two hundred thirty-seven million", and thus it is an aban number.