5183873735040 has 4096 divisors, whose sum is σ = 26620296192000. Its totient is φ = 920479334400.

The previous prime is 5183873734993. The next prime is 5183873735081. The reversal of 5183873735040 is 405373783815.

It is a happy number.

5183873735040 is a `hidden beast` number, since 5 + 183 + 8 + 7 + 373 + 50 + 40 = 666.

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 511 ways as a sum of consecutive naturals, for example, 84981536610 + ... + 84981536670.

It is an arithmetic number, because the mean of its divisors is an integer number (6499095750).

Almost surely, 2^{5183873735040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5183873735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310148096000).

5183873735040 is an abundant number, since it is smaller than the sum of its proper divisors (21436422456960).

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

5183873735040 is a wasteful number, since it uses less digits than its factorization.

5183873735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5183873735040 in words is "five trillion, one hundred eighty-three billion, eight hundred seventy-three million, seven hundred thirty-five thousand, forty".