16125234400 has 432 divisors, whose sum is σ = 47128858560. Its totient is φ = 5361664000.

The previous prime is 16125234397. The next prime is 16125234407. The reversal of 16125234400 is 443252161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16125234407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67469481 + ... + 67469719.

It is an arithmetic number, because the mean of its divisors is an integer number (109094580).

Almost surely, 2^16125234400 is an apocalyptic number.

16125234400 is a gapful number since it is divisible by the number (10) 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 16125234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23564429280).

16125234400 is an abundant number, since it is smaller than the sum of its proper divisors (31003624160).

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

16125234400 is a wasteful number, since it uses less digits than its factorization.

16125234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 16125234400 its reverse (443252161), we get a palindrome (16568486561).

The spelling of 16125234400 in words is "sixteen billion, one hundred twenty-five million, two hundred thirty-four thousand, four hundred".