53807316420 has 768 divisors, whose sum is σ = 200644190208. Its totient is φ = 10559324160.

The previous prime is 53807316419. The next prime is 53807316427. The reversal of 53807316420 is 2461370835.

53807316420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (53807316427) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144255354 + ... + 144255726.

It is an arithmetic number, because the mean of its divisors is an integer number (261255456).

Almost surely, 2^53807316420 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 53807316420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100322095104).

53807316420 is an abundant number, since it is smaller than the sum of its proper divisors (146836873788).

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

53807316420 is a wasteful number, since it uses less digits than its factorization.

53807316420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 53807316420 in words is "fifty-three billion, eight hundred seven million, three hundred sixteen thousand, four hundred twenty".