5012789760 has 640 divisors, whose sum is σ = 20505830400. Its totient is φ = 1147944960.

The previous prime is 5012789759. The next prime is 5012789777. The reversal of 5012789760 is 679872105.

5012789760 is a `hidden beast` number, since 501 + 2 + 7 + 89 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5012789760² = 50256122355921715200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14445907 + ... + 14446253.

It is an arithmetic number, because the mean of its divisors is an integer number (32040360).

Almost surely, 2^5012789760 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 5012789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10252915200).

5012789760 is an abundant number, since it is smaller than the sum of its proper divisors (15493040640).

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

5012789760 is a wasteful number, since it uses less digits than its factorization.

5012789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 5012789760 is about 70801.0576192192. The cubic root of 5012789760 is about 1711.4327173962.

The spelling of 5012789760 in words is "five billion, twelve million, seven hundred eighty-nine thousand, seven hundred sixty".