11488950083520 has 1120 divisors, whose sum is σ = 51526590546816. Its totient is φ = 2364899328000.

The previous prime is 11488950083519. The next prime is 11488950083557. The reversal of 11488950083520 is 2538005988411.

11488950083520 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 8 + 9 + 500 + 83 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×11488950083520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96648120 + ... + 96766920.

Almost surely, 2^{11488950083520} is an apocalyptic number.

11488950083520 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 11488950083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25763295273408).

11488950083520 is an abundant number, since it is smaller than the sum of its proper divisors (40037640463296).

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

11488950083520 is a wasteful number, since it uses less digits than its factorization.

11488950083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118891 (or 118872 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 11488950083520 in words is "eleven trillion, four hundred eighty-eight billion, nine hundred fifty million, eighty-three thousand, five hundred twenty".