10001166501654 has 96 divisors (see below), whose sum is σ = 23569657053696. Its totient is φ = 3052081797120.

The previous prime is 10001166501619. The next prime is 10001166501673. The reversal of 10001166501654 is 45610566110001.

It is a super-2 number, since 2×10001166501654² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

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, 47640139 + ... + 47849609.

It is an arithmetic number, because the mean of its divisors is an integer number (245517260976).

Almost surely, 2^{10001166501654} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001166501654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784828526848).

10001166501654 is an abundant number, since it is smaller than the sum of its proper divisors (13568490552042).

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

10001166501654 is a wasteful number, since it uses less digits than its factorization.

10001166501654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213750 (or 213747 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 10001166501654 in words is "ten trillion, one billion, one hundred sixty-six million, five hundred one thousand, six hundred fifty-four".