16261061073696 has 240 divisors, whose sum is σ = 49388346120960. Its totient is φ = 5243130984960.

The previous prime is 16261061073689. The next prime is 16261061073721. The reversal of 16261061073696 is 69637016016261.

It is a happy number.

16261061073696 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 10 + 610 + 7 + 3 + 6 + 9 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 182113350 + ... + 182202618.

It is an arithmetic number, because the mean of its divisors is an integer number (205784775504).

Almost surely, 2^{16261061073696} is an apocalyptic number.

16261061073696 is a gapful number since it is divisible by the number (16) 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 16261061073696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24694173060480).

16261061073696 is an abundant number, since it is smaller than the sum of its proper divisors (33127285047264).

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

16261061073696 is a wasteful number, since it uses less digits than its factorization.

16261061073696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91589 (or 91572 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 16261061073696 in words is "sixteen trillion, two hundred sixty-one billion, sixty-one million, seventy-three thousand, six hundred ninety-six".