5005703577600 has 1632 divisors, whose sum is σ = 20470731694080. Its totient is φ = 1203948748800.

The previous prime is 5005703577587. The next prime is 5005703577617. The reversal of 5005703577600 is 67753075005.

5005703577600 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 7 + 0 + 35 + 7 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39414988737 + ... + 39414988863.

Almost surely, 2^{5005703577600} is an apocalyptic number.

5005703577600 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 5005703577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10235365847040).

5005703577600 is an abundant number, since it is smaller than the sum of its proper divisors (15465028116480).

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

5005703577600 is an frugal number, since it uses more digits than its factorization.

5005703577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The spelling of 5005703577600 in words is "five trillion, five billion, seven hundred three million, five hundred seventy-seven thousand, six hundred".