4959156908160 has 2304 divisors, whose sum is σ = 22494872050560. Its totient is φ = 1034727063552.

The previous prime is 4959156908107. The next prime is 4959156908161. The reversal of 4959156908160 is 618096519594.

4959156908160 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 1 + 569 + 0 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4959156908161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11194484899 + ... + 11194485341.

Almost surely, 2^{4959156908160} is an apocalyptic number.

4959156908160 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 4959156908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11247436025280).

4959156908160 is an abundant number, since it is smaller than the sum of its proper divisors (17535715142400).

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

4959156908160 is a wasteful number, since it uses less digits than its factorization.

4959156908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 4959156908160 in words is "four trillion, nine hundred fifty-nine billion, one hundred fifty-six million, nine hundred eight thousand, one hundred sixty".