25530430464 has 264 divisors, whose sum is σ = 91911413568. Its totient is φ = 6631096320.

The previous prime is 25530430447. The next prime is 25530430477. The reversal of 25530430464 is 46403403552.

25530430464 is a `hidden beast` number, since 2 + 553 + 0 + 43 + 0 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-3 number, since 3×25530430464³ (a number of 32 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691644 + ... + 727620.

Almost surely, 2^25530430464 is an apocalyptic number.

25530430464 is a gapful number since it is divisible by the number (24) 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 25530430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45955706784).

25530430464 is an abundant number, since it is smaller than the sum of its proper divisors (66380983104).

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

25530430464 is a wasteful number, since it uses less digits than its factorization.

25530430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36021 (or 36000 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 25530430464 in words is "twenty-five billion, five hundred thirty million, four hundred thirty thousand, four hundred sixty-four".