16139541600 has 2160 divisors, whose sum is σ = 81465598368. Its totient is φ = 3065610240.

The previous prime is 16139541581. The next prime is 16139541653. The reversal of 16139541600 is 614593161.

16139541600 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 9 + 5 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 701719189 + ... + 701719211.

Almost surely, 2^16139541600 is an apocalyptic number.

16139541600 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 16139541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40732799184).

16139541600 is an abundant number, since it is smaller than the sum of its proper divisors (65326056768).

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

16139541600 is a wasteful number, since it uses less digits than its factorization.

16139541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 16139541600 in words is "sixteen billion, one hundred thirty-nine million, five hundred forty-one thousand, six hundred".