25364859465330 has 432 divisors, whose sum is σ = 84391639539480. Its totient is φ = 5266388413440.

The previous prime is 25364859465241. The next prime is 25364859465343. The reversal of 25364859465330 is 3356495846352.

25364859465330 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 4 + 8 + 5 + 94 + 6 + 533 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25199004459321 + 165855006009 = 5019861^2 + 407253^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 687804852 + ... + 687841728.

Almost surely, 2^{25364859465330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25364859465330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42195819769740).

25364859465330 is an abundant number, since it is smaller than the sum of its proper divisors (59026780074150).

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

25364859465330 is a wasteful number, since it uses less digits than its factorization.

25364859465330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38215 (or 38194 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 63.

The spelling of 25364859465330 in words is "twenty-five trillion, three hundred sixty-four billion, eight hundred fifty-nine million, four hundred sixty-five thousand, three hundred thirty".