25437877920 has 1152 divisors, whose sum is σ = 119275752960. Its totient is φ = 4777574400.

The previous prime is 25437877909. The next prime is 25437877921. The reversal of 25437877920 is 2977873452.

25437877920 is a `hidden beast` number, since 2 + 543 + 7 + 8 + 7 + 7 + 92 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (25437877921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42325620 + ... + 42326220.

It is an arithmetic number, because the mean of its divisors is an integer number (103537980).

Almost surely, 2^25437877920 is an apocalyptic number.

25437877920 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 25437877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59637876480).

25437877920 is an abundant number, since it is smaller than the sum of its proper divisors (93837875040).

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

25437877920 is a wasteful number, since it uses less digits than its factorization.

25437877920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 25437877920 in words is "twenty-five billion, four hundred thirty-seven million, eight hundred seventy-seven thousand, nine hundred twenty".