4950585900288 has 1080 divisors, whose sum is σ = 17729652435264. Its totient is φ = 1369073664000.

The previous prime is 4950585900263. The next prime is 4950585900289. The reversal of 4950585900288 is 8820095850594.

4950585900288 is a `hidden beast` number, since 49 + 5 + 0 + 585 + 9 + 0 + 0 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×4950585900288² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950585900289) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6290451831 + ... + 6290452617.

Almost surely, 2^{4950585900288} is an apocalyptic number.

4950585900288 is a gapful number since it is divisible by the number (48) 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 4950585900288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864826217632).

4950585900288 is an abundant number, since it is smaller than the sum of its proper divisors (12779066534976).

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

4950585900288 is a wasteful number, since it uses less digits than its factorization.

4950585900288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 4950585900288 in words is "four trillion, nine hundred fifty billion, five hundred eighty-five million, nine hundred thousand, two hundred eighty-eight".