25330949777952 has 576 divisors, whose sum is σ = 91672816435200. Its totient is φ = 6454266624000.

The previous prime is 25330949777933. The next prime is 25330949777977. The reversal of 25330949777952 is 25977794903352.

25330949777952 is a `hidden beast` number, since 2 + 5 + 330 + 94 + 97 + 7 + 79 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486630327 + ... + 486682377.

It is an arithmetic number, because the mean of its divisors is an integer number (159154195200).

Almost surely, 2^{25330949777952} 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 25330949777952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45836408217600).

25330949777952 is an abundant number, since it is smaller than the sum of its proper divisors (66341866657248).

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

25330949777952 is a wasteful number, since it uses less digits than its factorization.

25330949777952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52717 (or 52706 counting only the distinct ones).

The product of its (nonzero) digits is 900169200, while the sum is 72.

The spelling of 25330949777952 in words is "twenty-five trillion, three hundred thirty billion, nine hundred forty-nine million, seven hundred seventy-seven thousand, nine hundred fifty-two".