101587166984160 has 2688 divisors, whose sum is σ = 438903052930944. Its totient is φ = 21877468692480.

The previous prime is 101587166984129. The next prime is 101587166984179. The reversal of 101587166984160 is 61489661785101.

101587166984160 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 8 + 71 + 66 + 98 + 416 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 59862796432 + ... + 59862798128.

It is an arithmetic number, because the mean of its divisors is an integer number (163282385763).

Almost surely, 2^{101587166984160} is an apocalyptic number.

101587166984160 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 101587166984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219451526465472).

101587166984160 is an abundant number, since it is smaller than the sum of its proper divisors (337315885946784).

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

101587166984160 is a wasteful number, since it uses less digits than its factorization.

101587166984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 101587166984160 in words is "one hundred one trillion, five hundred eighty-seven billion, one hundred sixty-six million, nine hundred eighty-four thousand, one hundred sixty".