9050557000320 has 1536 divisors, whose sum is σ = 37031526604800. Its totient is φ = 2013322936320.

The previous prime is 9050557000291. The next prime is 9050557000333. The reversal of 9050557000320 is 230007550509.

9050557000320 is a `hidden beast` number, since 9 + 0 + 50 + 5 + 570 + 0 + 0 + 32 + 0 = 666.

It is a super-3 number, since 3×9050557000320³ (a number of 40 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 5827788664 + ... + 5827790216.

It is an arithmetic number, because the mean of its divisors is an integer number (24109066800).

Almost surely, 2^{9050557000320} is an apocalyptic number.

9050557000320 is a gapful number since it is divisible by the number (90) 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 9050557000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515763302400).

9050557000320 is an abundant number, since it is smaller than the sum of its proper divisors (27980969604480).

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

9050557000320 is a wasteful number, since it uses less digits than its factorization.

9050557000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 9050557000320 in words is "nine trillion, fifty billion, five hundred fifty-seven million, three hundred twenty", and thus it is an aban number.