25133552400 has 240 divisors, whose sum is σ = 90205887168. Its totient is φ = 5928192000.

The previous prime is 25133552383. The next prime is 25133552401. The reversal of 25133552400 is 425533152.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (25133552401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462670 + ... + 514130.

Almost surely, 2^25133552400 is an apocalyptic number.

25133552400 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 25133552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45102943584).

25133552400 is an abundant number, since it is smaller than the sum of its proper divisors (65072334768).

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

25133552400 is a wasteful number, since it uses less digits than its factorization.

25133552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51530 (or 51519 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 25133552400 in words is "twenty-five billion, one hundred thirty-three million, five hundred fifty-two thousand, four hundred".