11477704268800 has 1584 divisors, whose sum is σ = 37602006817536. Its totient is φ = 3373498368000.

The previous prime is 11477704268777. The next prime is 11477704268887. The reversal of 11477704268800 is 886240777411.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138285593559 + ... + 138285593641.

Almost surely, 2^{11477704268800} is an apocalyptic number.

11477704268800 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 11477704268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18801003408768).

11477704268800 is an abundant number, since it is smaller than the sum of its proper divisors (26124302548736).

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

11477704268800 is a wasteful number, since it uses less digits than its factorization.

11477704268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 55.

The spelling of 11477704268800 in words is "eleven trillion, four hundred seventy-seven billion, seven hundred four million, two hundred sixty-eight thousand, eight hundred".