166099046400 has 468 divisors, whose sum is σ = 679947622432. Its totient is φ = 37964021760.

The previous prime is 166099046303. The next prime is 166099046413. The reversal of 166099046400 is 4640990661.

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

It is a congruent number.

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, 6438327 + ... + 6464073.

Almost surely, 2^166099046400 is an apocalyptic number.

166099046400 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 166099046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339973811216).

166099046400 is an abundant number, since it is smaller than the sum of its proper divisors (513848576032).

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

166099046400 is a wasteful number, since it uses less digits than its factorization.

166099046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25794 (or 25764 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 166099046400 in words is "one hundred sixty-six billion, ninety-nine million, forty-six thousand, four hundred".