5054012409600 has 1944 divisors, whose sum is σ = 23701084960560. Its totient is φ = 1049971507200.

The previous prime is 5054012409599. The next prime is 5054012409619. The reversal of 5054012409600 is 69042104505.

5054012409600 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 0 + 1 + 2 + 40 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1024528734 + ... + 1024533666.

Almost surely, 2^{5054012409600} is an apocalyptic number.

5054012409600 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 5054012409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850542480280).

5054012409600 is an abundant number, since it is smaller than the sum of its proper divisors (18647072550960).

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

5054012409600 is a wasteful number, since it uses less digits than its factorization.

5054012409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5054012409600 in words is "five trillion, fifty-four billion, twelve million, four hundred nine thousand, six hundred".