9557040006000 has 480 divisors, whose sum is σ = 33740098828800. Its totient is φ = 2521165824000.

The previous prime is 9557040005959. The next prime is 9557040006023. The reversal of 9557040006000 is 6000407559.

9557040006000 is a `hidden beast` number, since 9 + 5 + 5 + 7 + 0 + 40 + 0 + 0 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628786401 + ... + 628801599.

It is an arithmetic number, because the mean of its divisors is an integer number (70291872560).

Almost surely, 2^{9557040006000} is an apocalyptic number.

9557040006000 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 9557040006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870049414400).

9557040006000 is an abundant number, since it is smaller than the sum of its proper divisors (24183058822800).

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

9557040006000 is a wasteful number, since it uses less digits than its factorization.

9557040006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15602 (or 15583 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 9557040006000 in words is "nine trillion, five hundred fifty-seven billion, forty million, six thousand".