838976565145320 has 384 divisors, whose sum is σ = 3254064578519040. Its totient is φ = 183294216230400.

The previous prime is 838976565145273. The next prime is 838976565145331. The reversal of 838976565145320 is 23541565679838.

838976565145320 is a `hidden beast` number, since 8 + 3 + 8 + 9 + 7 + 6 + 56 + 514 + 53 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73936845 + ... + 84525795.

It is an arithmetic number, because the mean of its divisors is an integer number (8474126506560).

It is a 1-persistent number, because it is pandigital, but 2⋅838976565145320 = 1677953130290640 is not.

Almost surely, 2^{838976565145320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838976565145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627032289259520).

838976565145320 is an abundant number, since it is smaller than the sum of its proper divisors (2415088013373720).

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

838976565145320 is a wasteful number, since it uses less digits than its factorization.

838976565145320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10590365 (or 10590358 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 838976565145320 in words is "eight hundred thirty-eight trillion, nine hundred seventy-six billion, five hundred sixty-five million, one hundred forty-five thousand, three hundred twenty".