25419298320 has 120 divisors (see below), whose sum is σ = 91933162776. Its totient is φ = 6257055744.

The previous prime is 25419298319. The next prime is 25419298327. The reversal of 25419298320 is 2389291452.

25419298320 is a `hidden beast` number, since 2 + 54 + 192 + 98 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 620607744 + 24798690576 = 24912^2 + 157476^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×25419298320³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25419298327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1348509 + ... + 1367228.

Almost surely, 2^25419298320 is an apocalyptic number.

25419298320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25419298320 is an abundant number, since it is smaller than the sum of its proper divisors (66513864456).

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

25419298320 is a wasteful number, since it uses less digits than its factorization.

25419298320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715769 (or 2715760 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 25419298320 in words is "twenty-five billion, four hundred nineteen million, two hundred ninety-eight thousand, three hundred twenty".