11074150752000 has 1152 divisors, whose sum is σ = 42676921018368. Its totient is φ = 2493038592000.

The previous prime is 11074150751999. The next prime is 11074150752017. The reversal of 11074150752000 is 25705147011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16753631670 + ... + 16753632330.

It is an arithmetic number, because the mean of its divisors is an integer number (37045938384).

Almost surely, 2^{11074150752000} is an apocalyptic number.

11074150752000 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 11074150752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21338460509184).

11074150752000 is an abundant number, since it is smaller than the sum of its proper divisors (31602770266368).

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

11074150752000 is a wasteful number, since it uses less digits than its factorization.

11074150752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

Adding to 11074150752000 its reverse (25705147011), we get a palindrome (11099855899011).

The spelling of 11074150752000 in words is "eleven trillion, seventy-four billion, one hundred fifty million, seven hundred fifty-two thousand".