16395139238400 has 4320 divisors, whose sum is σ = 73825781597568. Its totient is φ = 3573625651200.

The previous prime is 16395139238389. The next prime is 16395139238479. The reversal of 16395139238400 is 483293159361.

16395139238400 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 513 + 92 + 38 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-3 number, since 3×16395139238400³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 268772774370 + ... + 268772774430.

Almost surely, 2^{16395139238400} is an apocalyptic number.

16395139238400 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 16395139238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36912890798784).

16395139238400 is an abundant number, since it is smaller than the sum of its proper divisors (57430642359168).

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

16395139238400 is a wasteful number, since it uses less digits than its factorization.

16395139238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 16395139238400 in words is "sixteen trillion, three hundred ninety-five billion, one hundred thirty-nine million, two hundred thirty-eight thousand, four hundred".