838892920320 has 2880 divisors, whose sum is σ = 3958076041920. Its totient is φ = 168552824832.

The previous prime is 838892920241. The next prime is 838892920331. The reversal of 838892920320 is 23029298838.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11491683804 + ... + 11491683876.

It is an arithmetic number, because the mean of its divisors is an integer number (1374331959).

Almost surely, 2^838892920320 is an apocalyptic number.

838892920320 is a gapful number since it is divisible by the number (80) 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 838892920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979038020960).

838892920320 is an abundant number, since it is smaller than the sum of its proper divisors (3119183121600).

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

838892920320 is a wasteful number, since it uses less digits than its factorization.

838892920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 838892920320 in words is "eight hundred thirty-eight billion, eight hundred ninety-two million, nine hundred twenty thousand, three hundred twenty".