166072550400 has 495 divisors, whose sum is σ = 617127764781. Its totient is φ = 44129525760.

The previous prime is 166072550353. The next prime is 166072550407. The reversal of 166072550400 is 4055270661.

It is a happy number.

The square root of 166072550400 is 407520.

It is a perfect power (a square), and thus also a powerful number.

166072550400 is a `hidden beast` number, since 1 + 6 + 60 + 7 + 2 + 550 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59786118144 + 106286432256 = 244512^2 + 326016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166072550407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 586828659 + ... + 586828941.

Almost surely, 2^166072550400 is an apocalyptic number.

166072550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166072550400 is the 407520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166072550400

166072550400 is an abundant number, since it is smaller than the sum of its proper divisors (451055214381).

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

166072550400 is an frugal number, since it uses more digits than its factorization.

166072550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 166072550400 by its sum of digits (36), we get a square (5978611814400 = 2445120²).

166072550400 divided by its sum of digits (36) gives a square (4613126400 = 67920²).

The spelling of 166072550400 in words is "one hundred sixty-six billion, seventy-two million, five hundred fifty thousand, four hundred".