4895959495680 has 2376 divisors, whose sum is σ = 21042535419360. Its totient is φ = 1040847667200.

The previous prime is 4895959495643. The next prime is 4895959495709. The reversal of 4895959495680 is 865949595984.

4895959495680 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 9 + 5 + 9 + 49 + 568 + 0 = 666.

It is a super-3 number, since 3×4895959495680³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4895959495680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 157934177265 + ... + 157934177295.

Almost surely, 2^{4895959495680} is an apocalyptic number.

4895959495680 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 4895959495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521267709680).

4895959495680 is an abundant number, since it is smaller than the sum of its proper divisors (16146575923680).

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

4895959495680 is a wasteful number, since it uses less digits than its factorization.

4895959495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5038848000, while the sum is 81.

The spelling of 4895959495680 in words is "four trillion, eight hundred ninety-five billion, nine hundred fifty-nine million, four hundred ninety-five thousand, six hundred eighty".