11521760000 has 180 divisors, whose sum is σ = 29050632072. Its totient is φ = 4558848000.

The previous prime is 11521759973. The next prime is 11521760027. The reversal of 11521760000 is 6712511.

It is an interprime number because it is at equal distance from previous prime (11521759973) and next prime (11521760027).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17119664 + ... + 17120336.

Almost surely, 2^11521760000 is an apocalyptic number.

11521760000 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 11521760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14525316036).

11521760000 is an abundant number, since it is smaller than the sum of its proper divisors (17528872072).

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

11521760000 is an frugal number, since it uses more digits than its factorization.

11521760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The spelling of 11521760000 in words is "eleven billion, five hundred twenty-one million, seven hundred sixty thousand".