5117458352400 has 405 divisors, whose sum is σ = 18269876474031. Its totient is φ = 1326469962240.

The previous prime is 5117458352323. The next prime is 5117458352407. The reversal of 5117458352400 is 42538547115.

The square root of 5117458352400 is 2262180.

It is a perfect power (a square), and thus also a powerful number.

5117458352400 is a `hidden beast` number, since 5 + 1 + 1 + 7 + 45 + 83 + 524 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 485803424016 + 4631654928384 = 696996^2 + 2152128^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5117458352407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5022039091 + ... + 5022040109.

Almost surely, 2^{5117458352400} is an apocalyptic number.

5117458352400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5117458352400 is the 2262180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5117458352400

5117458352400 is an abundant number, since it is smaller than the sum of its proper divisors (13152418121631).

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

5117458352400 is a wasteful number, since it uses less digits than its factorization.

5117458352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 5117458352400 in words is "five trillion, one hundred seventeen billion, four hundred fifty-eight million, three hundred fifty-two thousand, four hundred".