11552000000 has 252 divisors, whose sum is σ = 30472168545. Its totient is φ = 4377600000.

The previous prime is 11551999997. The next prime is 11552000023. The reversal of 11552000000 is 25511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 1969939456 + 9582060544 = 44384^2 + 97888^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=76000.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 607999991 + ... + 608000009.

Almost surely, 2^11552000000 is an apocalyptic number.

11552000000 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 11552000000

11552000000 is an abundant number, since it is smaller than the sum of its proper divisors (18920168545).

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

11552000000 is an frugal number, since it uses more digits than its factorization.

11552000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

Multiplying 11552000000 by its product of nonzero digits (50), we get a square (577600000000 = 760000²).

11552000000 divided by its product of nonzero digits (50) gives a square (231040000 = 15200²).

Adding to 11552000000 its reverse (25511), we get a palindrome (11552025511).

The spelling of 11552000000 in words is "eleven billion, five hundred fifty-two million", and thus it is an aban number.