25311270666240 has 912 divisors, whose sum is σ = 98011084193568. Its totient is φ = 6229447409664.

The previous prime is 25311270666229. The next prime is 25311270666323. The reversal of 25311270666240 is 4266607211352.

It is a super-3 number, since 3×25311270666240³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4140561424 + ... + 4140567536.

Almost surely, 2^{25311270666240} is an apocalyptic number.

25311270666240 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 25311270666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49005542096784).

25311270666240 is an abundant number, since it is smaller than the sum of its proper divisors (72699813527328).

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

25311270666240 is an frugal number, since it uses more digits than its factorization.

25311270666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 25311270666240 its reverse (4266607211352), we get a palindrome (29577877877592).

The spelling of 25311270666240 in words is "twenty-five trillion, three hundred eleven billion, two hundred seventy million, six hundred sixty-six thousand, two hundred forty".