11520033719040 has 3456 divisors, whose sum is σ = 55263938688000. Its totient is φ = 2259354746880.

The previous prime is 11520033719039. The next prime is 11520033719101. The reversal of 11520033719040 is 4091733002511.

11520033719040 is a `hidden beast` number, since 1 + 1 + 520 + 0 + 3 + 3 + 7 + 1 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×11520033719040² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11520033718986 and 11520033719004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42825404026 + ... + 42825404294.

It is an arithmetic number, because the mean of its divisors is an integer number (15990723000).

Almost surely, 2^{11520033719040} is an apocalyptic number.

11520033719040 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 11520033719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27631969344000).

11520033719040 is an abundant number, since it is smaller than the sum of its proper divisors (43743904968960).

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

11520033719040 is a wasteful number, since it uses less digits than its factorization.

11520033719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11520033719040 in words is "eleven trillion, five hundred twenty billion, thirty-three million, seven hundred nineteen thousand, forty".