9025428787200 has 936 divisors, whose sum is σ = 37328775888768. Its totient is φ = 2041546014720.

The previous prime is 9025428787171. The next prime is 9025428787241. The reversal of 9025428787200 is 27878245209.

9025428787200 is a `hidden beast` number, since 9 + 0 + 2 + 5 + 428 + 7 + 8 + 7 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 625759189 + ... + 625773611.

Almost surely, 2^{9025428787200} is an apocalyptic number.

9025428787200 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 9025428787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18664387944384).

9025428787200 is an abundant number, since it is smaller than the sum of its proper divisors (28303347101568).

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

9025428787200 is a wasteful number, since it uses less digits than its factorization.

9025428787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14567 (or 14537 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 9025428787200 in words is "nine trillion, twenty-five billion, four hundred twenty-eight million, seven hundred eighty-seven thousand, two hundred".