11721671740800 has 1920 divisors, whose sum is σ = 52561985192640. Its totient is φ = 2511093104640.

The previous prime is 11721671740789. The next prime is 11721671740813. The reversal of 11721671740800 is 804717612711.

11721671740800 is a `hidden beast` number, since 1 + 1 + 72 + 167 + 17 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9037525752 + ... + 9037527048.

Almost surely, 2^{11721671740800} is an apocalyptic number.

11721671740800 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 11721671740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26280992596320).

11721671740800 is an abundant number, since it is smaller than the sum of its proper divisors (40840313451840).

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

11721671740800 is a wasteful number, since it uses less digits than its factorization.

11721671740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 11721671740800 in words is "eleven trillion, seven hundred twenty-one billion, six hundred seventy-one million, seven hundred forty thousand, eight hundred".