5132788688400 has 240 divisors, whose sum is σ = 16888421738496. Its totient is φ = 1331825564160.

The previous prime is 5132788688353. The next prime is 5132788688413. The reversal of 5132788688400 is 48868872315.

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 (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13381689 + ... + 13759911.

Almost surely, 2^{5132788688400} is an apocalyptic number.

5132788688400 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 5132788688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444210869248).

5132788688400 is an abundant number, since it is smaller than the sum of its proper divisors (11755633050096).

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

5132788688400 is a wasteful number, since it uses less digits than its factorization.

5132788688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378550 (or 378539 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 5132788688400 in words is "five trillion, one hundred thirty-two billion, seven hundred eighty-eight million, six hundred eighty-eight thousand, four hundred".