25714517920 has 480 divisors, whose sum is σ = 80636532480. Its totient is φ = 7681443840.

The previous prime is 25714517911. The next prime is 25714517921. The reversal of 25714517920 is 2971541752.

It is a super-2 number, since 2×25714517920² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25714517921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94887385 + ... + 94887655.

It is an arithmetic number, because the mean of its divisors is an integer number (167992776).

Almost surely, 2^25714517920 is an apocalyptic number.

25714517920 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 25714517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40318266240).

25714517920 is an abundant number, since it is smaller than the sum of its proper divisors (54922014560).

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

25714517920 is a wasteful number, since it uses less digits than its factorization.

25714517920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 25714517920 in words is "twenty-five billion, seven hundred fourteen million, five hundred seventeen thousand, nine hundred twenty".