11840473075200 has 480 divisors, whose sum is σ = 48765846286080. Its totient is φ = 2460357427200.

The previous prime is 11840473075159. The next prime is 11840473075217. The reversal of 11840473075200 is 257037404811.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11840473075200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 954556 + ... + 4959044.

It is an arithmetic number, because the mean of its divisors is an integer number (101595513096).

Almost surely, 2^{11840473075200} is an apocalyptic number.

11840473075200 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 11840473075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24382923143040).

11840473075200 is an abundant number, since it is smaller than the sum of its proper divisors (36925373210880).

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

11840473075200 is a wasteful number, since it uses less digits than its factorization.

11840473075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004538 (or 4004517 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 11840473075200 in words is "eleven trillion, eight hundred forty billion, four hundred seventy-three million, seventy-five thousand, two hundred".