11385029754000 has 720 divisors, whose sum is σ = 47040432791040. Its totient is φ = 2558174169600.

The previous prime is 11385029753953. The next prime is 11385029754053. The reversal of 11385029754000 is 45792058311.

11385029754000 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 502 + 97 + 54 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 51928609 + ... + 52147391.

It is an arithmetic number, because the mean of its divisors is an integer number (65333934432).

Almost surely, 2^{11385029754000} is an apocalyptic number.

11385029754000 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 11385029754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520216395520).

11385029754000 is an abundant number, since it is smaller than the sum of its proper divisors (35655403037040).

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

11385029754000 is a wasteful number, since it uses less digits than its factorization.

11385029754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218885 (or 218859 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 11385029754000 in words is "eleven trillion, three hundred eighty-five billion, twenty-nine million, seven hundred fifty-four thousand".