11612006400 has 288 divisors, whose sum is σ = 40654897920. Its totient is φ = 2913730560.

The previous prime is 11612006387. The next prime is 11612006401. The reversal of 11612006400 is 460021611.

It is not an unprimeable number, because it can be changed into a prime (11612006401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2608977 + ... + 2613423.

It is an arithmetic number, because the mean of its divisors is an integer number (141162840).

Almost surely, 2^11612006400 is an apocalyptic number.

11612006400 is a gapful number since it is divisible by the number (10) 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 11612006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327448960).

11612006400 is an abundant number, since it is smaller than the sum of its proper divisors (29042891520).

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

11612006400 is a wasteful number, since it uses less digits than its factorization.

11612006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 11612006400 in words is "eleven billion, six hundred twelve million, six thousand, four hundred".