4995085893600 has 864 divisors, whose sum is σ = 18270536860800. Its totient is φ = 1184162918400.

The previous prime is 4995085893571. The next prime is 4995085893617. The reversal of 4995085893600 is 63985805994.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2899062339 + ... + 2899064061.

It is an arithmetic number, because the mean of its divisors is an integer number (21146454700).

Almost surely, 2^{4995085893600} is an apocalyptic number.

4995085893600 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 4995085893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135268430400).

4995085893600 is an abundant number, since it is smaller than the sum of its proper divisors (13275450967200).

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

4995085893600 is a wasteful number, since it uses less digits than its factorization.

4995085893600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 4995085893600 in words is "four trillion, nine hundred ninety-five billion, eighty-five million, eight hundred ninety-three thousand, six hundred".