5100648960 has 320 divisors, whose sum is σ = 17942601600. Its totient is φ = 1225850880.

The previous prime is 5100648937. The next prime is 5100648967. The reversal of 5100648960 is 698460015.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5100648967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14614866 + ... + 14615214.

It is an arithmetic number, because the mean of its divisors is an integer number (56070630).

Almost surely, 2^5100648960 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 5100648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971300800).

5100648960 is an abundant number, since it is smaller than the sum of its proper divisors (12841952640).

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

5100648960 is a wasteful number, since it uses less digits than its factorization.

5100648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5100648960 is about 71418.8277697135. The cubic root of 5100648960 is about 1721.3736277769.

The spelling of 5100648960 in words is "five billion, one hundred million, six hundred forty-eight thousand, nine hundred sixty".