11552151621140 has 96 divisors (see below), whose sum is σ = 27503592560640. Its totient is φ = 4040484940800.

The previous prime is 11552151621139. The next prime is 11552151621161. The reversal of 11552151621140 is 4112615125511.

It is a self number, because there is not a number n which added to its sum of digits gives 11552151621140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48248120 + ... + 48486960.

It is an arithmetic number, because the mean of its divisors is an integer number (286495755840).

Almost surely, 2^{11552151621140} is an apocalyptic number.

11552151621140 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 11552151621140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751796280320).

11552151621140 is an abundant number, since it is smaller than the sum of its proper divisors (15951440939500).

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

11552151621140 is a wasteful number, since it uses less digits than its factorization.

11552151621140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248673 (or 248671 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 35.

Adding to 11552151621140 its reverse (4112615125511), we get a palindrome (15664766746651).

The spelling of 11552151621140 in words is "eleven trillion, five hundred fifty-two billion, one hundred fifty-one million, six hundred twenty-one thousand, one hundred forty".