66121165032 has 256 divisors, whose sum is σ = 191999808000. Its totient is φ = 18794446848.

The previous prime is 66121165031. The next prime is 66121165127. The reversal of 66121165032 is 23056112166.

It is a super-2 number, since 2×66121165032² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66121164984 and 66121165002.

It is not an unprimeable number, because it can be changed into a prime (66121165031) 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 63 ways as a sum of consecutive naturals, for example, 150617469 + ... + 150617907.

It is an arithmetic number, because the mean of its divisors is an integer number (749999250).

Almost surely, 2^66121165032 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 66121165032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95999904000).

66121165032 is an abundant number, since it is smaller than the sum of its proper divisors (125878642968).

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

66121165032 is a wasteful number, since it uses less digits than its factorization.

66121165032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 66121165032 its reverse (23056112166), we get a palindrome (89177277198).

The spelling of 66121165032 in words is "sixty-six billion, one hundred twenty-one million, one hundred sixty-five thousand, thirty-two".