166076513280 has 1056 divisors, whose sum is σ = 649904486400. Its totient is φ = 39016857600.

The previous prime is 166076513269. The next prime is 166076513293. The reversal of 166076513280 is 82315670661.

166076513280 is a `hidden beast` number, since 1 + 6 + 60 + 76 + 513 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 787092375 + ... + 787092585.

Almost surely, 2^166076513280 is an apocalyptic number.

166076513280 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 166076513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324952243200).

166076513280 is an abundant number, since it is smaller than the sum of its proper divisors (483827973120).

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

166076513280 is a wasteful number, since it uses less digits than its factorization.

166076513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 166076513280 in words is "one hundred sixty-six billion, seventy-six million, five hundred thirteen thousand, two hundred eighty".