25723414080 has 448 divisors, whose sum is σ = 111691399680. Its totient is φ = 5427191808.

The previous prime is 25723414039. The next prime is 25723414111. The reversal of 25723414080 is 8041432752.

It is a happy number.

25723414080 is a `hidden beast` number, since 2 + 572 + 3 + 4 + 1 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×25723414080² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 769882 + ... + 802598.

It is an arithmetic number, because the mean of its divisors is an integer number (249311160).

Almost surely, 2^25723414080 is an apocalyptic number.

25723414080 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 25723414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55845699840).

25723414080 is an abundant number, since it is smaller than the sum of its proper divisors (85967985600).

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

25723414080 is a wasteful number, since it uses less digits than its factorization.

25723414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32763 (or 32747 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 25723414080 in words is "twenty-five billion, seven hundred twenty-three million, four hundred fourteen thousand, eighty".