166535147520 has 468 divisors, whose sum is σ = 671532909840. Its totient is φ = 38063112192.

The previous prime is 166535147483. The next prime is 166535147609. The reversal of 166535147520 is 25741535661.

166535147520 is a `hidden beast` number, since 1 + 6 + 65 + 3 + 514 + 75 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9022461 + ... + 9040899.

It is an arithmetic number, because the mean of its divisors is an integer number (1434899380).

Almost surely, 2^166535147520 is an apocalyptic number.

166535147520 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 166535147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335766454920).

166535147520 is an abundant number, since it is smaller than the sum of its proper divisors (504997762320).

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

166535147520 is a wasteful number, since it uses less digits than its factorization.

166535147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18488 (or 18456 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 166535147520 in words is "one hundred sixty-six billion, five hundred thirty-five million, one hundred forty-seven thousand, five hundred twenty".