53838902113920 has 3072 divisors, whose sum is σ = 247093878620160. Its totient is φ = 10472124579840.

The previous prime is 53838902113873. The next prime is 53838902113921. The reversal of 53838902113920 is 2931120983835.

53838902113920 is a `hidden beast` number, since 5 + 3 + 8 + 38 + 9 + 0 + 211 + 392 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (53838902113921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 146700005577 + ... + 146700005943.

It is an arithmetic number, because the mean of its divisors is an integer number (80434205280).

Almost surely, 2^{53838902113920} 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 53838902113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123546939310080).

53838902113920 is an abundant number, since it is smaller than the sum of its proper divisors (193254976506240).

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

53838902113920 is a wasteful number, since it uses less digits than its factorization.

53838902113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 53838902113920 in words is "fifty-three trillion, eight hundred thirty-eight billion, nine hundred two million, one hundred thirteen thousand, nine hundred twenty".