11520151332144 has 320 divisors, whose sum is σ = 37738532579328. Its totient is φ = 2947035340800.

The previous prime is 11520151332119. The next prime is 11520151332233. The reversal of 11520151332144 is 44123315102511.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30796309 + ... + 31168139.

Almost surely, 2^{11520151332144} is an apocalyptic number.

11520151332144 is a gapful number since it is divisible by the number (14) 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 11520151332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869266289664).

11520151332144 is an abundant number, since it is smaller than the sum of its proper divisors (26218381247184).

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

11520151332144 is a wasteful number, since it uses less digits than its factorization.

11520151332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372076 (or 372070 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 11520151332144 its reverse (44123315102511), we get a palindrome (55643466434655).

The spelling of 11520151332144 in words is "eleven trillion, five hundred twenty billion, one hundred fifty-one million, three hundred thirty-two thousand, one hundred forty-four".