25766406720 has 112 divisors (see below), whose sum is σ = 90898187520. Its totient is φ = 6871039488.

The previous prime is 25766406661. The next prime is 25766406751. The reversal of 25766406720 is 2760466752.

25766406720 is a `hidden beast` number, since 2 + 576 + 6 + 4 + 0 + 6 + 72 + 0 = 666.

It is a super-3 number, since 3×25766406720³ (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482472 + ... + 1499751.

It is an arithmetic number, because the mean of its divisors is an integer number (811590960).

Almost surely, 2^25766406720 is an apocalyptic number.

25766406720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25766406720 is an abundant number, since it is smaller than the sum of its proper divisors (65131780800).

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

25766406720 is a wasteful number, since it uses less digits than its factorization.

25766406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982249 (or 2982233 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 25766406720 in words is "twenty-five billion, seven hundred sixty-six million, four hundred six thousand, seven hundred twenty".