5131611302400 has 720 divisors, whose sum is σ = 20460626828928. Its totient is φ = 1217544192000.

The previous prime is 5131611302393. The next prime is 5131611302407. The reversal of 5131611302400 is 42031161315.

It is a happy number.

5131611302400 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 611 + 3 + 0 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5131611302393) and next prime (5131611302407).

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (5131611302407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59515320 + ... + 59601480.

Almost surely, 2^{5131611302400} is an apocalyptic number.

5131611302400 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 5131611302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230313414464).

5131611302400 is an abundant number, since it is smaller than the sum of its proper divisors (15329015526528).

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

5131611302400 is a wasteful number, since it uses less digits than its factorization.

5131611302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86253 (or 86229 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 5131611302400 its reverse (42031161315), we get a palindrome (5173642463715).

The spelling of 5131611302400 in words is "five trillion, one hundred thirty-one billion, six hundred eleven million, three hundred two thousand, four hundred".