5207650081920 has 3840 divisors, whose sum is σ = 24460228679040. Its totient is φ = 1036733644800.

The previous prime is 5207650081867. The next prime is 5207650081927. The reversal of 5207650081920 is 291800567025.

5207650081920 is a `hidden beast` number, since 52 + 0 + 7 + 6 + 500 + 8 + 1 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5207650081927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 121108141419 + ... + 121108141461.

Almost surely, 2^{5207650081920} 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 5207650081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12230114339520).

5207650081920 is an abundant number, since it is smaller than the sum of its proper divisors (19252578597120).

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

5207650081920 is a wasteful number, since it uses less digits than its factorization.

5207650081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5207650081920 in words is "five trillion, two hundred seven billion, six hundred fifty million, eighty-one thousand, nine hundred twenty".