25466077728 has 288 divisors, whose sum is σ = 93051141120. Its totient is φ = 6716183040.

The previous prime is 25466077717. The next prime is 25466077729. The reversal of 25466077728 is 82777066452.

25466077728 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 607 + 7 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×25466077728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25466077729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527233 + ... + 573503.

It is an arithmetic number, because the mean of its divisors is an integer number (323094240).

Almost surely, 2^25466077728 is an apocalyptic number.

25466077728 is a gapful number since it is divisible by the number (28) 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 25466077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46525570560).

25466077728 is an abundant number, since it is smaller than the sum of its proper divisors (67585063392).

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

25466077728 is a wasteful number, since it uses less digits than its factorization.

25466077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46317 (or 46296 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 25466077728 in words is "twenty-five billion, four hundred sixty-six million, seventy-seven thousand, seven hundred twenty-eight".