11400708096 has 272 divisors, whose sum is σ = 35861025600. Its totient is φ = 3567255552.

The previous prime is 11400708083. The next prime is 11400708097. The reversal of 11400708096 is 69080700411.

It is a tau number, because it is divible by the number of its divisors (272).

It is a super-2 number, since 2×11400708096² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11400708096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400708097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30080835 + ... + 30081213.

Almost surely, 2^11400708096 is an apocalyptic number.

11400708096 is a gapful number since it is divisible by the number (16) 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 11400708096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930512800).

11400708096 is an abundant number, since it is smaller than the sum of its proper divisors (24460317504).

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

11400708096 is an frugal number, since it uses more digits than its factorization.

11400708096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11400708096 in words is "eleven billion, four hundred million, seven hundred eight thousand, ninety-six".