4882611778560 has 1760 divisors, whose sum is σ = 18934858736640. Its totient is φ = 1200763699200.

The previous prime is 4882611778553. The next prime is 4882611778631. The reversal of 4882611778560 is 658771162884.

It is a happy number.

4882611778560 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 61 + 1 + 7 + 7 + 8 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31099438002 + ... + 31099438158.

It is an arithmetic number, because the mean of its divisors is an integer number (10758442464).

Almost surely, 2^{4882611778560} is an apocalyptic number.

4882611778560 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 4882611778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9467429368320).

4882611778560 is an abundant number, since it is smaller than the sum of its proper divisors (14052246958080).

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

4882611778560 is a wasteful number, since it uses less digits than its factorization.

4882611778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 4882611778560 in words is "four trillion, eight hundred eighty-two billion, six hundred eleven million, seven hundred seventy-eight thousand, five hundred sixty".