11407550112 has 240 divisors, whose sum is σ = 38441874240. Its totient is φ = 3250824192.

The previous prime is 11407550101. The next prime is 11407550117. The reversal of 11407550112 is 21105570411.

11407550112 is a `hidden beast` number, since 1 + 140 + 7 + 5 + 501 + 12 = 666.

11407550112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11407550117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11194339 + ... + 11195357.

It is an arithmetic number, because the mean of its divisors is an integer number (160174476).

Almost surely, 2^11407550112 is an apocalyptic number.

11407550112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11407550112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220937120).

11407550112 is an abundant number, since it is smaller than the sum of its proper divisors (27034324128).

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

11407550112 is a wasteful number, since it uses less digits than its factorization.

11407550112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The spelling of 11407550112 in words is "eleven billion, four hundred seven million, five hundred fifty thousand, one hundred twelve".