10006491488 has 144 divisors (see below), whose sum is σ = 24237698688. Its totient is φ = 4048128000.

The previous prime is 10006491487. The next prime is 10006491491. The reversal of 10006491488 is 88419460001.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006491487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1990418 + ... + 1995438.

It is an arithmetic number, because the mean of its divisors is an integer number (168317352).

Almost surely, 2^10006491488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006491488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118849344).

10006491488 is an abundant number, since it is smaller than the sum of its proper divisors (14231207200).

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

10006491488 is a wasteful number, since it uses less digits than its factorization.

10006491488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 10006491488 in words is "ten billion, six million, four hundred ninety-one thousand, four hundred eighty-eight".