5350508587008 has 768 divisors, whose sum is σ = 17689524652800. Its totient is φ = 1607271579648.

The previous prime is 5350508587003. The next prime is 5350508587019. The reversal of 5350508587008 is 8007858050535.

5350508587008 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 50 + 8 + 587 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (5350508587003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2503746516 + ... + 2503748652.

It is an arithmetic number, because the mean of its divisors is an integer number (23033235225).

Almost surely, 2^{5350508587008} 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 5350508587008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844762326400).

5350508587008 is an abundant number, since it is smaller than the sum of its proper divisors (12339016065792).

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

5350508587008 is an equidigital number, since it uses as much as digits as its factorization.

5350508587008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 5350508587008 in words is "five trillion, three hundred fifty billion, five hundred eight million, five hundred eighty-seven thousand, eight".