11071010400 has 72 divisors (see below), whose sum is σ = 36036146664. Its totient is φ = 2952268800.

The previous prime is 11071010399. The next prime is 11071010407. The reversal of 11071010400 is 401017011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11071010400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071010407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2304061 + ... + 2308860.

It is an arithmetic number, because the mean of its divisors is an integer number (500502037).

Almost surely, 2^11071010400 is an apocalyptic number.

11071010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11071010400 is an abundant number, since it is smaller than the sum of its proper divisors (24965136264).

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

11071010400 is a wasteful number, since it uses less digits than its factorization.

11071010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612944 (or 4612931 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 11071010400 its reverse (401017011), we get a palindrome (11472027411).

The spelling of 11071010400 in words is "eleven billion, seventy-one million, ten thousand, four hundred".