166212630540 has 288 divisors, whose sum is σ = 554389355520. Its totient is φ = 39974860800.

The previous prime is 166212630533. The next prime is 166212630541. The reversal of 166212630540 is 45036212661.

166212630540 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 12 + 630 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 166212630495 and 166212630504.

It is not an unprimeable number, because it can be changed into a prime (166212630541) 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 95 ways as a sum of consecutive naturals, for example, 164729556 + ... + 164730564.

It is an arithmetic number, because the mean of its divisors is an integer number (1924963040).

Almost surely, 2^166212630540 is an apocalyptic number.

166212630540 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 166212630540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277194677760).

166212630540 is an abundant number, since it is smaller than the sum of its proper divisors (388176724980).

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

166212630540 is a wasteful number, since it uses less digits than its factorization.

166212630540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 166212630540 in words is "one hundred sixty-six billion, two hundred twelve million, six hundred thirty thousand, five hundred forty".