5901620005008 has 720 divisors, whose sum is σ = 21700368676800. Its totient is φ = 1530035619840.

The previous prime is 5901620004989. The next prime is 5901620005069. The reversal of 5901620005008 is 8005000261095.

It is a happy number.

5901620005008 is a `hidden beast` number, since 5 + 90 + 1 + 62 + 0 + 0 + 0 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 211052148 + ... + 211080108.

It is an arithmetic number, because the mean of its divisors is an integer number (30139400940).

Almost surely, 2^{5901620005008} 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 5901620005008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10850184338400).

5901620005008 is an abundant number, since it is smaller than the sum of its proper divisors (15798748671792).

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

5901620005008 is a wasteful number, since it uses less digits than its factorization.

5901620005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28077 (or 28045 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 5901620005008 in words is "five trillion, nine hundred one billion, six hundred twenty million, five thousand, eight".