11483834019840 has 2080 divisors, whose sum is σ = 51150842265600. Its totient is φ = 2399871172608.

The previous prime is 11483834019811. The next prime is 11483834019887. The reversal of 11483834019840 is 4891043838411.

11483834019840 is a `hidden beast` number, since 1 + 1 + 4 + 83 + 83 + 401 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 19171675861 + ... + 19171676459.

Almost surely, 2^{11483834019840} is an apocalyptic number.

11483834019840 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 11483834019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25575421132800).

11483834019840 is an abundant number, since it is smaller than the sum of its proper divisors (39667008245760).

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

11483834019840 is a wasteful number, since it uses less digits than its factorization.

11483834019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 11483834019840 in words is "eleven trillion, four hundred eighty-three billion, eight hundred thirty-four million, nineteen thousand, eight hundred forty".