9382139020800 has 3840 divisors, whose sum is σ = 44736336691200. Its totient is φ = 1896219279360.

The previous prime is 9382139020799. The next prime is 9382139020831. The reversal of 9382139020800 is 80209312839.

9382139020800 is a `hidden beast` number, since 9 + 38 + 21 + 390 + 208 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73875110337 + ... + 73875110463.

It is an arithmetic number, because the mean of its divisors is an integer number (11650087680).

Almost surely, 2^{9382139020800} is an apocalyptic number.

9382139020800 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 9382139020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22368168345600).

9382139020800 is an abundant number, since it is smaller than the sum of its proper divisors (35354197670400).

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

9382139020800 is a wasteful number, since it uses less digits than its factorization.

9382139020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 9382139020800 in words is "nine trillion, three hundred eighty-two billion, one hundred thirty-nine million, twenty thousand, eight hundred".