4895766288000 has 1536 divisors, whose sum is σ = 20517467443200. Its totient is φ = 1095706828800.

The previous prime is 4895766287977. The next prime is 4895766288013. The reversal of 4895766288000 is 8826675984.

4895766288000 is a `hidden beast` number, since 489 + 5 + 76 + 6 + 2 + 8 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13637231821 + ... + 13637232179.

It is an arithmetic number, because the mean of its divisors is an integer number (13357726200).

Almost surely, 2^{4895766288000} is an apocalyptic number.

4895766288000 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 4895766288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258733721600).

4895766288000 is an abundant number, since it is smaller than the sum of its proper divisors (15621701155200).

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

4895766288000 is a wasteful number, since it uses less digits than its factorization.

4895766288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 4895766288000 in words is "four trillion, eight hundred ninety-five billion, seven hundred sixty-six million, two hundred eighty-eight thousand".