5074786317600 has 288 divisors, whose sum is σ = 18361502288640. Its totient is φ = 1352709227520.

The previous prime is 5074786317571. The next prime is 5074786317649. The reversal of 5074786317600 is 67136874705.

5074786317600 is a `hidden beast` number, since 50 + 7 + 478 + 63 + 1 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52807194 + ... + 52903206.

It is an arithmetic number, because the mean of its divisors is an integer number (63755216280).

Almost surely, 2^{5074786317600} is an apocalyptic number.

5074786317600 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 5074786317600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180751144320).

5074786317600 is an abundant number, since it is smaller than the sum of its proper divisors (13286715971040).

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

5074786317600 is a wasteful number, since it uses less digits than its factorization.

5074786317600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98489 (or 98470 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 5074786317600 in words is "five trillion, seventy-four billion, seven hundred eighty-six million, three hundred seventeen thousand, six hundred".