25142789633364 has 864 divisors, whose sum is σ = 77422285624320. Its totient is φ = 6838763323392.

The previous prime is 25142789633293. The next prime is 25142789633369. The reversal of 25142789633364 is 46333698724152.

25142789633364 is a `hidden beast` number, since 2 + 5 + 142 + 78 + 9 + 63 + 3 + 364 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25142789633369) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63331963614 + ... + 63331964010.

It is an arithmetic number, because the mean of its divisors is an integer number (89609126880).

Almost surely, 2^{25142789633364} 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 25142789633364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38711142812160).

25142789633364 is an abundant number, since it is smaller than the sum of its proper divisors (52279495990956).

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

25142789633364 is a wasteful number, since it uses less digits than its factorization.

25142789633364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 871 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 25142789633364 in words is "twenty-five trillion, one hundred forty-two billion, seven hundred eighty-nine million, six hundred thirty-three thousand, three hundred sixty-four".