53418882720 has 288 divisors, whose sum is σ = 196018958016. Its totient is φ = 12192768000.

The previous prime is 53418882709. The next prime is 53418882721. The reversal of 53418882720 is 2728881435.

It is a super-2 number, since 2×53418882720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53418882720.

It is not an unprimeable number, because it can be changed into a prime (53418882721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24718440 + ... + 24720600.

It is an arithmetic number, because the mean of its divisors is an integer number (680621382).

Almost surely, 2^53418882720 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 53418882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98009479008).

53418882720 is an abundant number, since it is smaller than the sum of its proper divisors (142600075296).

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

53418882720 is a wasteful number, since it uses less digits than its factorization.

53418882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 53418882720 in words is "fifty-three billion, four hundred eighteen million, eight hundred eighty-two thousand, seven hundred twenty".