25205151132000 has 768 divisors, whose sum is σ = 105021586575360. Its totient is φ = 5751938304000.

The previous prime is 25205151131989. The next prime is 25205151132019. The reversal of 25205151132000 is 23115150252.

25205151132000 is a `hidden beast` number, since 2 + 520 + 5 + 1 + 5 + 1 + 132 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 477009582 + ... + 477062418.

It is an arithmetic number, because the mean of its divisors is an integer number (136746857520).

Almost surely, 2^{25205151132000} is an apocalyptic number.

25205151132000 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 25205151132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52510793287680).

25205151132000 is an abundant number, since it is smaller than the sum of its proper divisors (79816435443360).

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

25205151132000 is a wasteful number, since it uses less digits than its factorization.

25205151132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53509 (or 53485 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 25205151132000 its reverse (23115150252), we get a palindrome (25228266282252).

The spelling of 25205151132000 in words is "twenty-five trillion, two hundred five billion, one hundred fifty-one million, one hundred thirty-two thousand".