11476294860800 has 1536 divisors, whose sum is σ = 37446174720000. Its totient is φ = 3456604569600.

The previous prime is 11476294860781. The next prime is 11476294860809. The reversal of 11476294860800 is 806849267411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (11476294860809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145269555161 + ... + 145269555239.

It is an arithmetic number, because the mean of its divisors is an integer number (24379020000).

Almost surely, 2^{11476294860800} is an apocalyptic number.

11476294860800 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 11476294860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723087360000).

11476294860800 is an abundant number, since it is smaller than the sum of its proper divisors (25969879859200).

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

11476294860800 is an frugal number, since it uses more digits than its factorization.

11476294860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 11476294860800 in words is "eleven trillion, four hundred seventy-six billion, two hundred ninety-four million, eight hundred sixty thousand, eight hundred".