52408097280 has 1280 divisors, whose sum is σ = 238527590400. Its totient is φ = 10590289920.

The previous prime is 52408097251. The next prime is 52408097303. The reversal of 52408097280 is 8279080425.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228856206 + ... + 228856434.

It is an arithmetic number, because the mean of its divisors is an integer number (186349680).

Almost surely, 2^52408097280 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 52408097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119263795200).

52408097280 is an abundant number, since it is smaller than the sum of its proper divisors (186119493120).

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

52408097280 is a wasteful number, since it uses less digits than its factorization.

52408097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 52408097280 in words is "fifty-two billion, four hundred eight million, ninety-seven thousand, two hundred eighty".