25399434384 has 225 divisors, whose sum is σ = 77920509513. Its totient is φ = 7986449664.

The previous prime is 25399434373. The next prime is 25399434433. The reversal of 25399434384 is 48343499352.

The square root of 25399434384 is 159372.

It is a perfect power (a square), and thus also a powerful number.

25399434384 is a `hidden beast` number, since 253 + 9 + 9 + 4 + 3 + 4 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5158112400 + 20241321984 = 71820^2 + 142272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25399434384.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 109010332 + ... + 109010564.

Almost surely, 2^25399434384 is an apocalyptic number.

25399434384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25399434384 is the 159372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25399434384

25399434384 is an abundant number, since it is smaller than the sum of its proper divisors (52521075129).

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

25399434384 is an equidigital number, since it uses as much as digits as its factorization.

25399434384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 257 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 25399434384 in words is "twenty-five billion, three hundred ninety-nine million, four hundred thirty-four thousand, three hundred eighty-four".