5090536488960 has 2048 divisors, whose sum is σ = 21308081356800. Its totient is φ = 1141521776640.

The previous prime is 5090536488929. The next prime is 5090536488979. The reversal of 5090536488960 is 698846350905.

5090536488960 is a `hidden beast` number, since 5 + 0 + 9 + 0 + 536 + 4 + 8 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40082964417 + ... + 40082964543.

It is an arithmetic number, because the mean of its divisors is an integer number (10404336600).

Almost surely, 2^{5090536488960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5090536488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654040678400).

5090536488960 is an abundant number, since it is smaller than the sum of its proper divisors (16217544867840).

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

5090536488960 is a wasteful number, since it uses less digits than its factorization.

5090536488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 5090536488960 in words is "five trillion, ninety billion, five hundred thirty-six million, four hundred eighty-eight thousand, nine hundred sixty".