166479350400 has 1152 divisors, whose sum is σ = 675210444480. Its totient is φ = 39029760000.

The previous prime is 166479350399. The next prime is 166479350459. The reversal of 166479350400 is 4053974661.

166479350400 is a `hidden beast` number, since 16 + 6 + 47 + 93 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1648310350 + ... + 1648310450.

Almost surely, 2^166479350400 is an apocalyptic number.

166479350400 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 166479350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337605222240).

166479350400 is an abundant number, since it is smaller than the sum of its proper divisors (508731094080).

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

166479350400 is a wasteful number, since it uses less digits than its factorization.

166479350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 166479350400 in words is "one hundred sixty-six billion, four hundred seventy-nine million, three hundred fifty thousand, four hundred".