25413073920 has 704 divisors, whose sum is σ = 99042048000. Its totient is φ = 6141837312.

The previous prime is 25413073891. The next prime is 25413073921. The reversal of 25413073920 is 2937031452.

25413073920 is a `hidden beast` number, since 254 + 13 + 0 + 7 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25413073921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 141972391 + ... + 141972569.

Almost surely, 2^25413073920 is an apocalyptic number.

25413073920 is a gapful number since it is divisible by the number (20) 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 25413073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49521024000).

25413073920 is an abundant number, since it is smaller than the sum of its proper divisors (73628974080).

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

25413073920 is a wasteful number, since it uses less digits than its factorization.

25413073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 25413073920 in words is "twenty-five billion, four hundred thirteen million, seventy-three thousand, nine hundred twenty".