11552154624 has 132 divisors (see below), whose sum is σ = 33905075100. Its totient is φ = 3787407360.

The previous prime is 11552154577. The next prime is 11552154631. The reversal of 11552154624 is 42645125511.

11552154624 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 21 + 5 + 4 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6016794624 + 5535360000 = 77568^2 + 74400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551902 + ... + 572450.

Almost surely, 2^11552154624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11552154624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952537550).

11552154624 is an abundant number, since it is smaller than the sum of its proper divisors (22352920476).

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

11552154624 is a wasteful number, since it uses less digits than its factorization.

11552154624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20636 (or 20615 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

It can be divided in two parts, 11552 and 154624, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 11552154624 in words is "eleven billion, five hundred fifty-two million, one hundred fifty-four thousand, six hundred twenty-four".