4895686656000 has 2880 divisors, whose sum is σ = 22801357522944. Its totient is φ = 1019215872000.

The previous prime is 4895686655999. The next prime is 4895686656001. The reversal of 4895686656000 is 6566865984.

4895686656000 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 6 + 8 + 66 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4895686655999) and next prime (4895686656001).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4895686656001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157925375985 + ... + 157925376015.

Almost surely, 2^{4895686656000} is an apocalyptic number.

4895686656000 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 4895686656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400678761472).

4895686656000 is an abundant number, since it is smaller than the sum of its proper divisors (17905670866944).

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

4895686656000 is an frugal number, since it uses more digits than its factorization.

4895686656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 4895686656000 in words is "four trillion, eight hundred ninety-five billion, six hundred eighty-six million, six hundred fifty-six thousand".