25133377111920 has 3840 divisors, whose sum is σ = 122701746585600. Its totient is φ = 4615853506560.

The previous prime is 25133377111879. The next prime is 25133377111933. The reversal of 25133377111920 is 2911177333152.

25133377111920 is a `hidden beast` number, since 2 + 51 + 33 + 377 + 11 + 192 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 109752738366 + ... + 109752738594.

It is an arithmetic number, because the mean of its divisors is an integer number (31953579840).

Almost surely, 2^{25133377111920} is an apocalyptic number.

25133377111920 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 25133377111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61350873292800).

25133377111920 is an abundant number, since it is smaller than the sum of its proper divisors (97568369473680).

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

25133377111920 is a wasteful number, since it uses less digits than its factorization.

25133377111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 25133377111920 in words is "twenty-five trillion, one hundred thirty-three billion, three hundred seventy-seven million, one hundred eleven thousand, nine hundred twenty".