5046507385920 has 2240 divisors, whose sum is σ = 24470629134336. Its totient is φ = 953185812480.

The previous prime is 5046507385901. The next prime is 5046507385937. The reversal of 5046507385920 is 295837056405.

5046507385920 is a `hidden beast` number, since 5 + 0 + 46 + 5 + 0 + 7 + 3 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×5046507385920² (a number of 26 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 1738375189 + ... + 1738378091.

Almost surely, 2^{5046507385920} 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 5046507385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235314567168).

5046507385920 is an abundant number, since it is smaller than the sum of its proper divisors (19424121748416).

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

5046507385920 is a wasteful number, since it uses less digits than its factorization.

5046507385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 5046507385920 in words is "five trillion, forty-six billion, five hundred seven million, three hundred eighty-five thousand, nine hundred twenty".