166870558400 has 504 divisors, whose sum is σ = 544699886976. Its totient is φ = 49700044800.

The previous prime is 166870558381. The next prime is 166870558429. The reversal of 166870558400 is 4855078661.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 17321585 + ... + 17331215.

It is an arithmetic number, because the mean of its divisors is an integer number (1080753744).

Almost surely, 2^166870558400 is an apocalyptic number.

166870558400 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 166870558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272349943488).

166870558400 is an abundant number, since it is smaller than the sum of its proper divisors (377829328576).

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

166870558400 is a wasteful number, since it uses less digits than its factorization.

166870558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9697 (or 9675 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 166870558400 in words is "one hundred sixty-six billion, eight hundred seventy million, five hundred fifty-eight thousand, four hundred".