5149759680 has 1120 divisors, whose sum is σ = 22305507840. Its totient is φ = 1114767360.

The previous prime is 5149759661. The next prime is 5149759759. The reversal of 5149759680 is 869579415.

5149759680 is a `hidden beast` number, since 5 + 1 + 49 + 7 + 596 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 166121265 + ... + 166121295.

It is an arithmetic number, because the mean of its divisors is an integer number (19915632).

Almost surely, 2^5149759680 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 5149759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152753920).

5149759680 is an abundant number, since it is smaller than the sum of its proper divisors (17155748160).

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

5149759680 is a wasteful number, since it uses less digits than its factorization.

5149759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 5149759680 is about 71761.8260637228. The cubic root of 5149759680 is about 1726.8806408018.

The spelling of 5149759680 in words is "five billion, one hundred forty-nine million, seven hundred fifty-nine thousand, six hundred eighty".