5057451786240 has 1728 divisors, whose sum is σ = 22090476038400. Its totient is φ = 1091580198912.

The previous prime is 5057451786209. The next prime is 5057451786251. The reversal of 5057451786240 is 426871547505.

It is a happy number.

5057451786240 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 4 + 5 + 1 + 7 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 16473784167 + ... + 16473784473.

It is an arithmetic number, because the mean of its divisors is an integer number (12783840300).

Almost surely, 2^{5057451786240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5057451786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11045238019200).

5057451786240 is an abundant number, since it is smaller than the sum of its proper divisors (17033024252160).

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

5057451786240 is an equidigital number, since it uses as much as digits as its factorization.

5057451786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 5057451786240 in words is "five trillion, fifty-seven billion, four hundred fifty-one million, seven hundred eighty-six thousand, two hundred forty".