25542433200 has 120 divisors (see below), whose sum is σ = 82161363856. Its totient is φ = 6782976000.

The previous prime is 25542433199. The next prime is 25542433219. The reversal of 25542433200 is 233424552.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245040 + ... + 333360.

Almost surely, 2^25542433200 is an apocalyptic number.

25542433200 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 25542433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41080681928).

25542433200 is an abundant number, since it is smaller than the sum of its proper divisors (56618930656).

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

25542433200 is a wasteful number, since it uses less digits than its factorization.

25542433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88583 (or 88572 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 25542433200 its reverse (233424552), we get a palindrome (25775857752).

The spelling of 25542433200 in words is "twenty-five billion, five hundred forty-two million, four hundred thirty-three thousand, two hundred".