25261157376000 has 3024 divisors, whose sum is σ = 115060275886608. Its totient is φ = 5313724416000.

The previous prime is 25261157375983. The next prime is 25261157376001. The reversal of 25261157376000 is 67375116252.

It is a happy number.

25261157376000 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 1 + 1 + 5 + 7 + 37 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25261157376001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 76317695835 + ... + 76317696165.

Almost surely, 2^{25261157376000} is an apocalyptic number.

25261157376000 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 25261157376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57530137943304).

25261157376000 is an abundant number, since it is smaller than the sum of its proper divisors (89799118510608).

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

25261157376000 is a wasteful number, since it uses less digits than its factorization.

25261157376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 25261157376000 in words is "twenty-five trillion, two hundred sixty-one billion, one hundred fifty-seven million, three hundred seventy-six thousand".