166900224526560 has 384 divisors, whose sum is σ = 674210820326400. Its totient is φ = 37770912921600.

The previous prime is 166900224526559. The next prime is 166900224526571. The reversal of 166900224526560 is 65625422009661.

166900224526560 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 0 + 0 + 2 + 24 + 52 + 6 + 560 = 666.

It is a super-2 number, since 2×166900224526560² (a number of 29 digits) contains 22 as substring.

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 = 166900224526497 and 166900224526506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24268470 + ... + 30376949.

It is an arithmetic number, because the mean of its divisors is an integer number (1755757344600).

Almost surely, 2^{166900224526560} is an apocalyptic number.

166900224526560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166900224526560 is an abundant number, since it is smaller than the sum of its proper divisors (507310595799840).

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

166900224526560 is a wasteful number, since it uses less digits than its factorization.

166900224526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54645551 (or 54645537 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 166900224526560 in words is "one hundred sixty-six trillion, nine hundred billion, two hundred twenty-four million, five hundred twenty-six thousand, five hundred sixty".