25077530016 has 672 divisors, whose sum is σ = 96459890688. Its totient is φ = 6220177920.

The previous prime is 25077529931. The next prime is 25077530017. The reversal of 25077530016 is 61003577052.

25077530016 is a `hidden beast` number, since 2 + 50 + 77 + 530 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (25077530017) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41313585 + ... + 41314191.

It is an arithmetic number, because the mean of its divisors is an integer number (143541504).

Almost surely, 2^25077530016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25077530016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48229945344).

25077530016 is an abundant number, since it is smaller than the sum of its proper divisors (71382360672).

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

25077530016 is a wasteful number, since it uses less digits than its factorization.

25077530016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 25077530016 in words is "twenty-five billion, seventy-seven million, five hundred thirty thousand, sixteen".