5135836200960 has 240 divisors, whose sum is σ = 16481538864000. Its totient is φ = 1365609283584.

The previous prime is 5135836200919. The next prime is 5135836200997. The reversal of 5135836200960 is 690026385315.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85740301 + ... + 85800179.

It is an arithmetic number, because the mean of its divisors is an integer number (68673078600).

Almost surely, 2^{5135836200960} 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 5135836200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240769432000).

5135836200960 is an abundant number, since it is smaller than the sum of its proper divisors (11345702663040).

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

5135836200960 is an equidigital number, since it uses as much as digits as its factorization.

5135836200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60264 (or 60238 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 5135836200960 in words is "five trillion, one hundred thirty-five billion, eight hundred thirty-six million, two hundred thousand, nine hundred sixty".