166129819560 has 128 divisors (see below), whose sum is σ = 555213312000. Its totient is φ = 44185506048.

The previous prime is 166129819519. The next prime is 166129819571. The reversal of 166129819560 is 65918921661.

166129819560 is a `hidden beast` number, since 1 + 6 + 61 + 2 + 9 + 8 + 19 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 166129819497 and 166129819506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212826 + ... + 614454.

It is an arithmetic number, because the mean of its divisors is an integer number (4337604000).

Almost surely, 2^166129819560 is an apocalyptic number.

166129819560 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 166129819560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277606656000).

166129819560 is an abundant number, since it is smaller than the sum of its proper divisors (389083492440).

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

166129819560 is a wasteful number, since it uses less digits than its factorization.

166129819560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402032 (or 402022 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 166129819560 in words is "one hundred sixty-six billion, one hundred twenty-nine million, eight hundred nineteen thousand, five hundred sixty".