53813501280 has 1152 divisors, whose sum is σ = 242252881920. Its totient is φ = 11123481600.

The previous prime is 53813501267. The next prime is 53813501363. The reversal of 53813501280 is 8210531835.

53813501280 is a `hidden beast` number, since 53 + 81 + 3 + 501 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281745985 + ... + 281746175.

It is an arithmetic number, because the mean of its divisors is an integer number (210288960).

Almost surely, 2^53813501280 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 53813501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121126440960).

53813501280 is an abundant number, since it is smaller than the sum of its proper divisors (188439380640).

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

53813501280 is a wasteful number, since it uses less digits than its factorization.

53813501280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 53813501280 in words is "fifty-three billion, eight hundred thirteen million, five hundred one thousand, two hundred eighty".