9001059782400 has 1944 divisors, whose sum is σ = 38530393792800. Its totient is φ = 2003515637760.

The previous prime is 9001059782389. The next prime is 9001059782401. The reversal of 9001059782400 is 42879501009.

9001059782400 is a `hidden beast` number, since 9 + 0 + 0 + 10 + 597 + 8 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001059782401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 113937465561 + ... + 113937465639.

Almost surely, 2^{9001059782400} is an apocalyptic number.

9001059782400 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 9001059782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265196896400).

9001059782400 is an abundant number, since it is smaller than the sum of its proper divisors (29529334010400).

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

9001059782400 is an equidigital number, since it uses as much as digits as its factorization.

9001059782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 9001059782400 in words is "nine trillion, one billion, fifty-nine million, seven hundred eighty-two thousand, four hundred".