4915860868800 has 1134 divisors, whose sum is σ = 21591518218452. Its totient is φ = 1057485864960.

The previous prime is 4915860868741. The next prime is 4915860868873. The reversal of 4915860868800 is 88680685194.

4915860868800 is a `hidden beast` number, since 4 + 9 + 15 + 8 + 608 + 6 + 8 + 8 + 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 161 ways as a sum of consecutive naturals, for example, 203906347 + ... + 203930453.

Almost surely, 2^{4915860868800} is an apocalyptic number.

4915860868800 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 4915860868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795759109226).

4915860868800 is an abundant number, since it is smaller than the sum of its proper divisors (16675657349652).

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

4915860868800 is a wasteful number, since it uses less digits than its factorization.

4915860868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24183 (or 24141 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 4915860868800 in words is "four trillion, nine hundred fifteen billion, eight hundred sixty million, eight hundred sixty-eight thousand, eight hundred".