166031590400 has 528 divisors, whose sum is σ = 469074144000. Its totient is φ = 57808650240.

The previous prime is 166031590357. The next prime is 166031590409. The reversal of 166031590400 is 4095130661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166031590409) 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, 834329501 + ... + 834329699.

It is an arithmetic number, because the mean of its divisors is an integer number (888398000).

Almost surely, 2^166031590400 is an apocalyptic number.

166031590400 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 166031590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234537072000).

166031590400 is an abundant number, since it is smaller than the sum of its proper divisors (303042553600).

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

166031590400 is a wasteful number, since it uses less digits than its factorization.

166031590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 166031590400 in words is "one hundred sixty-six billion, thirty-one million, five hundred ninety thousand, four hundred".