5005970688 has 144 divisors (see below), whose sum is σ = 14154618240. Its totient is φ = 1565196288.

The previous prime is 5005970663. The next prime is 5005970713. The reversal of 5005970688 is 8860795005.

It is an interprime number because it is at equal distance from previous prime (5005970663) and next prime (5005970713).

It is a super-3 number, since 3×5005970688³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5966173 + ... + 5967011.

It is an arithmetic number, because the mean of its divisors is an integer number (98295960).

Almost surely, 2^5005970688 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 5005970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077309120).

5005970688 is an abundant number, since it is smaller than the sum of its proper divisors (9148647552).

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

5005970688 is a wasteful number, since it uses less digits than its factorization.

5005970688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 5005970688 is about 70752.8846620405. The cubic root of 5005970688 is about 1710.6563247845.

The spelling of 5005970688 in words is "five billion, five million, nine hundred seventy thousand, six hundred eighty-eight".