25767401532912 has 960 divisors, whose sum is σ = 87601913118720. Its totient is φ = 6984407678976.

The previous prime is 25767401532911. The next prime is 25767401532913. The reversal of 25767401532912 is 21923510476752.

25767401532912 is a `hidden beast` number, since 2 + 5 + 7 + 67 + 40 + 1 + 532 + 9 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (25767401532911) and next prime (25767401532913).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25767401532911) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23574932238 + ... + 23574933330.

It is an arithmetic number, because the mean of its divisors is an integer number (91251992832).

Almost surely, 2^{25767401532912} 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 25767401532912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43800956559360).

25767401532912 is an abundant number, since it is smaller than the sum of its proper divisors (61834511585808).

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

25767401532912 is a wasteful number, since it uses less digits than its factorization.

25767401532912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 25767401532912 in words is "twenty-five trillion, seven hundred sixty-seven billion, four hundred one million, five hundred thirty-two thousand, nine hundred twelve".