166394597400 has 288 divisors, whose sum is σ = 575488158960. Its totient is φ = 43060792320.

The previous prime is 166394597377. The next prime is 166394597407. The reversal of 166394597400 is 4795493661.

166394597400 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 9 + 4 + 597 + 40 + 0 = 666.

166394597400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166394597400³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166394597407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12144954 + ... + 12158646.

Almost surely, 2^166394597400 is an apocalyptic number.

166394597400 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 166394597400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287744079480).

166394597400 is an abundant number, since it is smaller than the sum of its proper divisors (409093561560).

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

166394597400 is a wasteful number, since it uses less digits than its factorization.

166394597400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13915 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 166394597400 in words is "one hundred sixty-six billion, three hundred ninety-four million, five hundred ninety-seven thousand, four hundred".