11007808416 has 384 divisors, whose sum is σ = 36273484800. Its totient is φ = 3219194880.

The previous prime is 11007808387. The next prime is 11007808457. The reversal of 11007808416 is 61480870011.

It is a super-2 number, since 2×11007808416² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37569166 + ... + 37569458.

It is an arithmetic number, because the mean of its divisors is an integer number (94462200).

Almost surely, 2^11007808416 is an apocalyptic number.

11007808416 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 11007808416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136742400).

11007808416 is an abundant number, since it is smaller than the sum of its proper divisors (25265676384).

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

11007808416 is a wasteful number, since it uses less digits than its factorization.

11007808416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11007808416 in words is "eleven billion, seven million, eight hundred eight thousand, four hundred sixteen".