166757253120 has 360 divisors, whose sum is σ = 599555886384. Its totient is φ = 44463292416.

The previous prime is 166757253101. The next prime is 166757253133. The reversal of 166757253120 is 21352757661.

It is a happy number.

166757253120 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 572 + 53 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 23 ways as a sum of consecutive naturals, for example, 19902372 + ... + 19910748.

Almost surely, 2^166757253120 is an apocalyptic number.

166757253120 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 166757253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299777943192).

166757253120 is an abundant number, since it is smaller than the sum of its proper divisors (432798633264).

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

166757253120 is an frugal number, since it uses more digits than its factorization.

166757253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8425 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 166757253120 in words is "one hundred sixty-six billion, seven hundred fifty-seven million, two hundred fifty-three thousand, one hundred twenty".