10002400011 has 24 divisors (see below), whose sum is σ = 15090915840. Its totient is φ = 6372066096.

The previous prime is 10002399997. The next prime is 10002400027. The reversal of 10002400011 is 11000420001.

It is a happy number.

It is not a de Polignac number, because 10002400011 - 2¹¹ = 10002397963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002399966 and 10002400002.

It is not an unprimeable number, because it can be changed into a prime (10002400091) 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, 191820 + ... + 238326.

It is an arithmetic number, because the mean of its divisors is an integer number (628788160).

Almost surely, 2^10002400011 is an apocalyptic number.

10002400011 is a deficient number, since it is larger than the sum of its proper divisors (5088515829).

10002400011 is a wasteful number, since it uses less digits than its factorization.

10002400011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47575 (or 47572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002400011 its reverse (11000420001), we get a palindrome (21002820012).

The spelling of 10002400011 in words is "ten billion, two million, four hundred thousand, eleven".