4950779917160 has 192 divisors, whose sum is σ = 14265594288000. Its totient is φ = 1528942625280.

The previous prime is 4950779917151. The next prime is 4950779917183. The reversal of 4950779917160 is 617199770594.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1296701 + ... + 3403379.

It is an arithmetic number, because the mean of its divisors is an integer number (74299970250).

Almost surely, 2^{4950779917160} is an apocalyptic number.

4950779917160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4950779917160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132797144000).

4950779917160 is an abundant number, since it is smaller than the sum of its proper divisors (9314814370840).

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

4950779917160 is a wasteful number, since it uses less digits than its factorization.

4950779917160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106824 (or 2106813 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 65.

The spelling of 4950779917160 in words is "four trillion, nine hundred fifty billion, seven hundred seventy-nine million, nine hundred seventeen thousand, one hundred sixty".