9855416013030 has 640 divisors, whose sum is σ = 30980262297600. Its totient is φ = 2201815332864.

The previous prime is 9855416012999. The next prime is 9855416013059. The reversal of 9855416013030 is 303106145589.

9855416013030 is a `hidden beast` number, since 9 + 8 + 5 + 5 + 4 + 1 + 601 + 3 + 0 + 30 = 666.

It is a super-2 number, since 2×9855416013030² (a number of 27 digits) contains 22 as substring.

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

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 319 ways as a sum of consecutive naturals, for example, 24096371466 + ... + 24096371874.

It is an arithmetic number, because the mean of its divisors is an integer number (48406659840).

Almost surely, 2^{9855416013030} is an apocalyptic number.

9855416013030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9855416013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490131148800).

9855416013030 is an abundant number, since it is smaller than the sum of its proper divisors (21124846284570).

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

9855416013030 is a wasteful number, since it uses less digits than its factorization.

9855416013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 9855416013030 in words is "nine trillion, eight hundred fifty-five billion, four hundred sixteen million, thirteen thousand, thirty".