16115940921600 has 2160 divisors, whose sum is σ = 68442536397312. Its totient is φ = 3706442219520.

The previous prime is 16115940921571. The next prime is 16115940921607. The reversal of 16115940921600 is 612904951161.

16115940921600 is a `hidden beast` number, since 1 + 6 + 1 + 15 + 9 + 4 + 0 + 9 + 21 + 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 (45).

It is not an unprimeable number, because it can be changed into a prime (16115940921607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18674322769 + ... + 18674323631.

Almost surely, 2^{16115940921600} is an apocalyptic number.

16115940921600 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 16115940921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34221268198656).

16115940921600 is an abundant number, since it is smaller than the sum of its proper divisors (52326595475712).

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

16115940921600 is a wasteful number, since it uses less digits than its factorization.

16115940921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 16115940921600 in words is "sixteen trillion, one hundred fifteen billion, nine hundred forty million, nine hundred twenty-one thousand, six hundred".