838057506720 has 384 divisors, whose sum is σ = 3149357137920. Its totient is φ = 183291863040.

The previous prime is 838057506709. The next prime is 838057506761. The reversal of 838057506720 is 27605750838.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9225039 + ... + 9315441.

It is an arithmetic number, because the mean of its divisors is an integer number (8201450880).

Almost surely, 2^838057506720 is an apocalyptic number.

838057506720 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 838057506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574678568960).

838057506720 is an abundant number, since it is smaller than the sum of its proper divisors (2311299631200).

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

838057506720 is a wasteful number, since it uses less digits than its factorization.

838057506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90548 (or 90540 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 838057506720 in words is "eight hundred thirty-eight billion, fifty-seven million, five hundred six thousand, seven hundred twenty".