25958377287360 has 336 divisors, whose sum is σ = 102716926221312. Its totient is φ = 5894049024000.

The previous prime is 25958377287313. The next prime is 25958377287397. The reversal of 25958377287360 is 6378277385952.

25958377287360 is a `hidden beast` number, since 2 + 5 + 9 + 583 + 7 + 7 + 2 + 8 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1219476 + ... + 7307795.

Almost surely, 2^{25958377287360} is an apocalyptic number.

25958377287360 is a gapful number since it is divisible by the number (20) 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 25958377287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51358463110656).

25958377287360 is an abundant number, since it is smaller than the sum of its proper divisors (76758548933952).

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

25958377287360 is a wasteful number, since it uses less digits than its factorization.

25958377287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8527452 (or 8527439 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 25958377287360 in words is "twenty-five trillion, nine hundred fifty-eight billion, three hundred seventy-seven million, two hundred eighty-seven thousand, three hundred sixty".