11372045792800 has 864 divisors, whose sum is σ = 37129461312384. Its totient is φ = 3356559360000.

The previous prime is 11372045792797. The next prime is 11372045792851. The reversal of 11372045792800 is 829754027311.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 1001671924 + ... + 1001683276.

It is an arithmetic number, because the mean of its divisors is an integer number (42973913556).

Almost surely, 2^{11372045792800} is an apocalyptic number.

11372045792800 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 11372045792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564730656192).

11372045792800 is an abundant number, since it is smaller than the sum of its proper divisors (25757415519584).

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

11372045792800 is a wasteful number, since it uses less digits than its factorization.

11372045792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11522 (or 11502 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 11372045792800 in words is "eleven trillion, three hundred seventy-two billion, forty-five million, seven hundred ninety-two thousand, eight hundred".