7835066542116 has 192 divisors, whose sum is σ = 22242261888000. Its totient is φ = 2365433072640.

The previous prime is 7835066542109. The next prime is 7835066542129. The reversal of 7835066542116 is 6112456605387.

It is a happy number.

7835066542116 is a `hidden beast` number, since 7 + 8 + 35 + 0 + 66 + 542 + 1 + 1 + 6 = 666.

It is a super-2 number, since 2×7835066542116² (a number of 27 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 1155781615 + ... + 1155788393.

It is an arithmetic number, because the mean of its divisors is an integer number (115845114000).

Almost surely, 2^{7835066542116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7835066542116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11121130944000).

7835066542116 is an abundant number, since it is smaller than the sum of its proper divisors (14407195345884).

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

7835066542116 is a wasteful number, since it uses less digits than its factorization.

7835066542116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10271 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 7835066542116 in words is "seven trillion, eight hundred thirty-five billion, sixty-six million, five hundred forty-two thousand, one hundred sixteen".