9570225890400 has 1152 divisors, whose sum is σ = 37177070515200. Its totient is φ = 2093161512960.

The previous prime is 9570225890377. The next prime is 9570225890501. The reversal of 9570225890400 is 40985220759.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9123189076 + ... + 9123190124.

It is an arithmetic number, because the mean of its divisors is an integer number (32271762600).

Almost surely, 2^{9570225890400} 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 9570225890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588535257600).

9570225890400 is an abundant number, since it is smaller than the sum of its proper divisors (27606844624800).

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

9570225890400 is a wasteful number, since it uses less digits than its factorization.

9570225890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 9570225890400 in words is "nine trillion, five hundred seventy billion, two hundred twenty-five million, eight hundred ninety thousand, four hundred".