11612616400 has 240 divisors, whose sum is σ = 35137358208. Its totient is φ = 3582720000.

The previous prime is 11612616373. The next prime is 11612616451. The reversal of 11612616400 is 461621611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3108934 + ... + 3112666.

Almost surely, 2^11612616400 is an apocalyptic number.

11612616400 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 11612616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17568679104).

11612616400 is an abundant number, since it is smaller than the sum of its proper divisors (23524741808).

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

11612616400 is a wasteful number, since it uses less digits than its factorization.

11612616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 11612616400 in words is "eleven billion, six hundred twelve million, six hundred sixteen thousand, four hundred".