10005549990 has 64 divisors (see below), whose sum is σ = 24939679680. Its totient is φ = 2566840320.

The previous prime is 10005549973. The next prime is 10005550031. The reversal of 10005549990 is 9994550001.

It is a happy number.

It is a super-2 number, since 2×10005549990² (a number of 21 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 31 ways as a sum of consecutive naturals, for example, 48150 + ... + 149430.

It is an arithmetic number, because the mean of its divisors is an integer number (389682495).

Almost surely, 2^10005549990 is an apocalyptic number.

10005549990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005549990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12469839840).

10005549990 is an abundant number, since it is smaller than the sum of its proper divisors (14934129690).

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

10005549990 is a wasteful number, since it uses less digits than its factorization.

10005549990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101417.

The product of its (nonzero) digits is 72900, while the sum is 42.

The spelling of 10005549990 in words is "ten billion, five million, five hundred forty-nine thousand, nine hundred ninety".