4959020021760 has 1440 divisors, whose sum is σ = 20391259608720. Its totient is φ = 1114321453056.

The previous prime is 4959020021759. The next prime is 4959020021783. The reversal of 4959020021760 is 671200209594.

4959020021760 is a `hidden beast` number, since 4 + 95 + 90 + 200 + 217 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16153159527 + ... + 16153159833.

Almost surely, 2^{4959020021760} is an apocalyptic number.

4959020021760 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 4959020021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195629804360).

4959020021760 is an abundant number, since it is smaller than the sum of its proper divisors (15432239586960).

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

4959020021760 is an equidigital number, since it uses as much as digits as its factorization.

4959020021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 4959020021760 in words is "four trillion, nine hundred fifty-nine billion, twenty million, twenty-one thousand, seven hundred sixty".