4894087904160 has 768 divisors, whose sum is σ = 19659814207488. Its totient is φ = 995527065600.

The previous prime is 4894087904149. The next prime is 4894087904197. The reversal of 4894087904160 is 614097804984.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4894087904094 and 4894087904103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366949012 + ... + 366962348.

It is an arithmetic number, because the mean of its divisors is an integer number (25598716416).

Almost surely, 2^{4894087904160} is an apocalyptic number.

4894087904160 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 4894087904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9829907103744).

4894087904160 is an abundant number, since it is smaller than the sum of its proper divisors (14765726303328).

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

4894087904160 is a wasteful number, since it uses less digits than its factorization.

4894087904160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13677 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 4894087904160 in words is "four trillion, eight hundred ninety-four billion, eighty-seven million, nine hundred four thousand, one hundred sixty".