11610412800 has 864 divisors, whose sum is σ = 46838668800. Its totient is φ = 2528870400.

The previous prime is 11610412741. The next prime is 11610412813. The reversal of 11610412800 is 821401611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270009579 + ... + 270009621.

Almost surely, 2^11610412800 is an apocalyptic number.

11610412800 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 11610412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23419334400).

11610412800 is an abundant number, since it is smaller than the sum of its proper divisors (35228256000).

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

11610412800 is an equidigital number, since it uses as much as digits as its factorization.

11610412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 11610412800 in words is "eleven billion, six hundred ten million, four hundred twelve thousand, eight hundred".