5135722086400 has 456 divisors, whose sum is σ = 13930162983936. Its totient is φ = 1869820723200.

The previous prime is 5135722086293. The next prime is 5135722086457. The reversal of 5135722086400 is 46802275315.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3453746457 + ... + 3453747943.

Almost surely, 2^{5135722086400} is an apocalyptic number.

5135722086400 is a gapful number since it is divisible by the number (50) 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 5135722086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965081491968).

5135722086400 is an abundant number, since it is smaller than the sum of its proper divisors (8794440897536).

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

5135722086400 is an equidigital number, since it uses as much as digits as its factorization.

5135722086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 5135722086400 in words is "five trillion, one hundred thirty-five billion, seven hundred twenty-two million, eighty-six thousand, four hundred".