5131724639400 has 288 divisors, whose sum is σ = 17581470037560. Its totient is φ = 1341111582720.

The previous prime is 5131724639399. The next prime is 5131724639423. The reversal of 5131724639400 is 49364271315.

5131724639400 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 7 + 2 + 4 + 639 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 646232700996 + 4485491938404 = 803886^2 + 2117898^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20505424 + ... + 20754176.

Almost surely, 2^{5131724639400} is an apocalyptic number.

5131724639400 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 5131724639400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790735018780).

5131724639400 is an abundant number, since it is smaller than the sum of its proper divisors (12449745398160).

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

5131724639400 is a wasteful number, since it uses less digits than its factorization.

5131724639400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249005 (or 248993 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 5131724639400 in words is "five trillion, one hundred thirty-one billion, seven hundred twenty-four million, six hundred thirty-nine thousand, four hundred".