16275071400 has 384 divisors, whose sum is σ = 60467558400. Its totient is φ = 3540556800.

The previous prime is 16275071299. The next prime is 16275071429. The reversal of 16275071400 is 417057261.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31974346 + ... + 31974854.

It is an arithmetic number, because the mean of its divisors is an integer number (157467600).

Almost surely, 2^16275071400 is an apocalyptic number.

16275071400 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 16275071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30233779200).

16275071400 is an abundant number, since it is smaller than the sum of its proper divisors (44192487000).

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

16275071400 is a wasteful number, since it uses less digits than its factorization.

16275071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 16275071400 in words is "sixteen billion, two hundred seventy-five million, seventy-one thousand, four hundred".