25542011400 has 192 divisors, whose sum is σ = 80832921600. Its totient is φ = 6670460160.

The previous prime is 25542011323. The next prime is 25542011489. The reversal of 25542011400 is 411024552.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6017679 + ... + 6021921.

It is an arithmetic number, because the mean of its divisors is an integer number (421004800).

Almost surely, 2^25542011400 is an apocalyptic number.

25542011400 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 25542011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40416460800).

25542011400 is an abundant number, since it is smaller than the sum of its proper divisors (55290910200).

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

25542011400 is a wasteful number, since it uses less digits than its factorization.

25542011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 25542011400 its reverse (411024552), we get a palindrome (25953035952).

The spelling of 25542011400 in words is "twenty-five billion, five hundred forty-two million, eleven thousand, four hundred".