11552151200 has 72 divisors (see below), whose sum is σ = 28307055420. Its totient is φ = 4603596800.

The previous prime is 11552151179. The next prime is 11552151227. The reversal of 11552151200 is 215125511.

It can be written as a sum of positive squares in 6 ways, for example, as 1191354256 + 10360796944 = 34516^2 + 101788^2 .

It is a super-2 number, since 2×11552151200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188360 + ... + 242040.

Almost surely, 2^11552151200 is an apocalyptic number.

11552151200 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 11552151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153527710).

11552151200 is an abundant number, since it is smaller than the sum of its proper divisors (16754904220).

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

11552151200 is a wasteful number, since it uses less digits than its factorization.

11552151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53970 (or 53957 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 23.

Adding to 11552151200 its reverse (215125511), we get a palindrome (11767276711).

The spelling of 11552151200 in words is "eleven billion, five hundred fifty-two million, one hundred fifty-one thousand, two hundred".