5078577744900 has 243 divisors, whose sum is σ = 17499778544703. Its totient is φ = 1230990076800.

The previous prime is 5078577744857. The next prime is 5078577744913. The reversal of 5078577744900 is 94477758705.

The square root of 5078577744900 is 2253570.

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

5078577744900 is a `hidden beast` number, since 5 + 0 + 7 + 8 + 5 + 77 + 74 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50148227844 + 5028429517056 = 223938^2 + 2242416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 743674686 + ... + 743681514.

Almost surely, 2^{5078577744900} is an apocalyptic number.

5078577744900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5078577744900 is the 2253570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5078577744900

5078577744900 is an abundant number, since it is smaller than the sum of its proper divisors (12421200799803).

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

5078577744900 is a wasteful number, since it uses less digits than its factorization.

5078577744900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 5078577744900 in words is "five trillion, seventy-eight billion, five hundred seventy-seven million, seven hundred forty-four thousand, nine hundred".