25566400466552 has 64 divisors (see below), whose sum is σ = 54118181980800. Its totient is φ = 11216215866240.

The previous prime is 25566400466543. The next prime is 25566400466561.

25566400466552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (25566400466543) and next prime (25566400466561).

It is a super-2 number, since 2×25566400466552² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5057843 + ... + 8758685.

It is an arithmetic number, because the mean of its divisors is an integer number (845596593450).

Almost surely, 2^{25566400466552} is an apocalyptic number.

25566400466552 is a gapful number since it is divisible by the number (22) 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 25566400466552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27059090990400).

25566400466552 is an abundant number, since it is smaller than the sum of its proper divisors (28551781514248).

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

25566400466552 is a wasteful number, since it uses less digits than its factorization.

25566400466552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703596 (or 3703592 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 56.

The spelling of 25566400466552 in words is "twenty-five trillion, five hundred sixty-six billion, four hundred million, four hundred sixty-six thousand, five hundred fifty-two".