166100121600 has 864 divisors, whose sum is σ = 661647495600. Its totient is φ = 36608409600.

The previous prime is 166100121581. The next prime is 166100121619. The reversal of 166100121600 is 6121001661.

It is an interprime number because it is at equal distance from previous prime (166100121581) and next prime (166100121619).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218265220 + ... + 218265980.

Almost surely, 2^166100121600 is an apocalyptic number.

166100121600 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 166100121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330823747800).

166100121600 is an abundant number, since it is smaller than the sum of its proper divisors (495547374000).

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

166100121600 is a wasteful number, since it uses less digits than its factorization.

166100121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 166100121600 in words is "one hundred sixty-six billion, one hundred million, one hundred twenty-one thousand, six hundred".