9476858805120 has 512 divisors, whose sum is σ = 38573096832000. Its totient is φ = 2154032898048.

The previous prime is 9476858805107. The next prime is 9476858805133. The reversal of 9476858805120 is 215088586749.

9476858805120 is a `hidden beast` number, since 9 + 4 + 7 + 68 + 58 + 8 + 0 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9476858805107) and next prime (9476858805133).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 21432994 + ... + 21870686.

It is an arithmetic number, because the mean of its divisors is an integer number (75338079750).

Almost surely, 2^{9476858805120} is an apocalyptic number.

9476858805120 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 9476858805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19286548416000).

9476858805120 is an abundant number, since it is smaller than the sum of its proper divisors (29096238026880).

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

9476858805120 is a wasteful number, since it uses less digits than its factorization.

9476858805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437907 (or 437889 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 9476858805120 in words is "nine trillion, four hundred seventy-six billion, eight hundred fifty-eight million, eight hundred five thousand, one hundred twenty".