11328498972000 has 1920 divisors, whose sum is σ = 50380472862720. Its totient is φ = 2435443200000.

The previous prime is 11328498971897. The next prime is 11328498972001. The reversal of 11328498972000 is 27989482311.

11328498972000 is a `hidden beast` number, since 11 + 32 + 8 + 498 + 97 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11328498972001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6506891130 + ... + 6506892870.

It is an arithmetic number, because the mean of its divisors is an integer number (26239829616).

Almost surely, 2^{11328498972000} is an apocalyptic number.

11328498972000 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 11328498972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190236431360).

11328498972000 is an abundant number, since it is smaller than the sum of its proper divisors (39051973890720).

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

11328498972000 is a wasteful number, since it uses less digits than its factorization.

11328498972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 11328498972000 in words is "eleven trillion, three hundred twenty-eight billion, four hundred ninety-eight million, nine hundred seventy-two thousand".