16125134410000 has 400 divisors, whose sum is σ = 48744250346880. Its totient is φ = 5018757120000.

The previous prime is 16125134409931. The next prime is 16125134410009. The reversal of 16125134410000 is 1443152161.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (16125134410009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 545915232 + ... + 545944768.

Almost surely, 2^{16125134410000} is an apocalyptic number.

16125134410000 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 16125134410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24372125173440).

16125134410000 is an abundant number, since it is smaller than the sum of its proper divisors (32619115936880).

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

16125134410000 is a wasteful number, since it uses less digits than its factorization.

16125134410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30292 (or 30271 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 16125134410000 its reverse (1443152161), we get a palindrome (16126577562161).

The spelling of 16125134410000 in words is "sixteen trillion, one hundred twenty-five billion, one hundred thirty-four million, four hundred ten thousand".