5194949760 has 1536 divisors, whose sum is σ = 25983659520. Its totient is φ = 920125440.

The previous prime is 5194949759. The next prime is 5194949801. The reversal of 5194949760 is 679494915.

It is a happy number.

5194949760 is a `hidden beast` number, since 5 + 1 + 9 + 494 + 97 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5194949697 and 5194949706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98017894 + ... + 98017946.

It is an arithmetic number, because the mean of its divisors is an integer number (16916445).

Almost surely, 2^5194949760 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 5194949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991829760).

5194949760 is an abundant number, since it is smaller than the sum of its proper divisors (20788709760).

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

5194949760 is a wasteful number, since it uses less digits than its factorization.

5194949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 5194949760 is about 72075.9998890060. Note that the first 3 decimals coincide. The cubic root of 5194949760 is about 1731.9171680683.

The spelling of 5194949760 in words is "five billion, one hundred ninety-four million, nine hundred forty-nine thousand, seven hundred sixty".