838937394157200 has 480 divisors, whose sum is σ = 3020142485176320. Its totient is φ = 197516492236800.

The previous prime is 838937394157199. The next prime is 838937394157217. The reversal of 838937394157200 is 2751493739838.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6400567665 + ... + 6400698735.

It is an arithmetic number, because the mean of its divisors is an integer number (6291963510784).

Almost surely, 2^{838937394157200} is an apocalyptic number.

838937394157200 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 838937394157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510071242588160).

838937394157200 is an abundant number, since it is smaller than the sum of its proper divisors (2181205091019120).

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

838937394157200 is a wasteful number, since it uses less digits than its factorization.

838937394157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148967 (or 148956 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 838937394157200 in words is "eight hundred thirty-eight trillion, nine hundred thirty-seven billion, three hundred ninety-four million, one hundred fifty-seven thousand, two hundred".