4956159960 has 192 divisors, whose sum is σ = 16756346880. Its totient is φ = 1317513600.

The previous prime is 4956159959. The next prime is 4956159961. The reversal of 4956159960 is 699516594.

4956159960 is a `hidden beast` number, since 49 + 5 + 6 + 1 + 599 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4956159959) and next prime (4956159961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4956159897 and 4956159906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956159961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4305385 + ... + 4306535.

It is an arithmetic number, because the mean of its divisors is an integer number (87272640).

Almost surely, 2^4956159960 is an apocalyptic number.

4956159960 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 4956159960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378173440).

4956159960 is an abundant number, since it is smaller than the sum of its proper divisors (11800186920).

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

4956159960 is a wasteful number, since it uses less digits than its factorization.

4956159960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 4956159960 is about 70399.9997159091. Note that the first 3 decimals coincide. The cubic root of 4956159960 is about 1704.9635742398.

The spelling of 4956159960 in words is "four billion, nine hundred fifty-six million, one hundred fifty-nine thousand, nine hundred sixty".