25466120064000 has 5280 divisors, whose sum is σ = 125022493919232. Its totient is φ = 5120962560000.

The previous prime is 25466120063987. The next prime is 25466120064019. The reversal of 25466120064000 is 46002166452.

25466120064000 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 6 + 1 + 2 + 0 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-2 number, since 2×25466120064000² (a number of 28 digits) contains 22 as substring.

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 479 ways as a sum of consecutive naturals, for example, 821487743985 + ... + 821487744015.

Almost surely, 2^{25466120064000} is an apocalyptic number.

25466120064000 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 25466120064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62511246959616).

25466120064000 is an abundant number, since it is smaller than the sum of its proper divisors (99556373855232).

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

25466120064000 is an frugal number, since it uses more digits than its factorization.

25466120064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 25466120064000 in words is "twenty-five trillion, four hundred sixty-six billion, one hundred twenty million, sixty-four thousand".