4887781516800 has 2160 divisors, whose sum is σ = 22437163148400. Its totient is φ = 1006634926080.

The previous prime is 4887781516777. The next prime is 4887781516829. The reversal of 4887781516800 is 86151877884.

4887781516800 is a `hidden beast` number, since 48 + 8 + 7 + 78 + 1 + 516 + 8 + 0 + 0 = 666.

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

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, 3155442426 + ... + 3155443974.

Almost surely, 2^{4887781516800} is an apocalyptic number.

4887781516800 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 4887781516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218581574200).

4887781516800 is an abundant number, since it is smaller than the sum of its proper divisors (17549381631600).

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

4887781516800 is a wasteful number, since it uses less digits than its factorization.

4887781516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 4887781516800 in words is "four trillion, eight hundred eighty-seven billion, seven hundred eighty-one million, five hundred sixteen thousand, eight hundred".