166687006187520 has 2520 divisors, whose sum is σ = 752838064479864. Its totient is φ = 35163329789952.

The previous prime is 166687006187489. The next prime is 166687006187563. The reversal of 166687006187520 is 25781600786661.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 27474367527 + ... + 27474373593.

Almost surely, 2^{166687006187520} is an apocalyptic number.

166687006187520 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 166687006187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376419032239932).

166687006187520 is an abundant number, since it is smaller than the sum of its proper divisors (586151058292344).

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

166687006187520 is an equidigital number, since it uses as much as digits as its factorization.

166687006187520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 166687006187520 in words is "one hundred sixty-six trillion, six hundred eighty-seven billion, six million, one hundred eighty-seven thousand, five hundred twenty".