11580105400 has 48 divisors (see below), whose sum is σ = 26952616440. Its totient is φ = 4627075200.

The previous prime is 11580105379. The next prime is 11580105419. The reversal of 11580105400 is 450108511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158830 + ... + 219970.

Almost surely, 2^11580105400 is an apocalyptic number.

11580105400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11580105400 is an abundant number, since it is smaller than the sum of its proper divisors (15372511040).

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

11580105400 is a wasteful number, since it uses less digits than its factorization.

11580105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62104 (or 62095 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The spelling of 11580105400 in words is "eleven billion, five hundred eighty million, one hundred five thousand, four hundred".