11755072000 has 320 divisors, whose sum is σ = 35288098560. Its totient is φ = 3815424000.

The previous prime is 11755071967. The next prime is 11755072003. The reversal of 11755072000 is 27055711.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11755072000.

It is not an unprimeable number, because it can be changed into a prime (11755072003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8511310 + ... + 8512690.

It is an arithmetic number, because the mean of its divisors is an integer number (110275308).

Almost surely, 2^11755072000 is an apocalyptic number.

11755072000 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 11755072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644049280).

11755072000 is an abundant number, since it is smaller than the sum of its proper divisors (23533026560).

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

11755072000 is an equidigital number, since it uses as much as digits as its factorization.

11755072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The spelling of 11755072000 in words is "eleven billion, seven hundred fifty-five million, seventy-two thousand".