166010088960 has 480 divisors, whose sum is σ = 608068581120. Its totient is φ = 41789030400.

The previous prime is 166010088953. The next prime is 166010088977. The reversal of 166010088960 is 69880010661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×166010088960² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 29281006 + ... + 29286674.

It is an arithmetic number, because the mean of its divisors is an integer number (1266809544).

Almost surely, 2^166010088960 is an apocalyptic number.

166010088960 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 166010088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304034290560).

166010088960 is an abundant number, since it is smaller than the sum of its proper divisors (442058492160).

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

166010088960 is a wasteful number, since it uses less digits than its factorization.

166010088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 166010088960 in words is "one hundred sixty-six billion, ten million, eighty-eight thousand, nine hundred sixty".