166826564044800 has 576 divisors, whose sum is σ = 603283587379200. Its totient is φ = 40332455116800.

The previous prime is 166826564044747. The next prime is 166826564044807. The reversal of 166826564044800 is 8440465628661.

It is a super-2 number, since 2×166826564044800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (166826564044807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619948681 + ... + 620217719.

It is an arithmetic number, because the mean of its divisors is an integer number (1047367339200).

Almost surely, 2^{166826564044800} is an apocalyptic number.

166826564044800 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 166826564044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301641793689600).

166826564044800 is an abundant number, since it is smaller than the sum of its proper divisors (436457023334400).

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

166826564044800 is a wasteful number, since it uses less digits than its factorization.

166826564044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269452 (or 269427 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 166826564044800 in words is "one hundred sixty-six trillion, eight hundred twenty-six billion, five hundred sixty-four million, forty-four thousand, eight hundred".