53538209280 has 320 divisors, whose sum is σ = 192080116800. Its totient is φ = 14133657600.

The previous prime is 53538209251. The next prime is 53538209311. The reversal of 53538209280 is 8290283535.

53538209280 is a `hidden beast` number, since 5 + 3 + 538 + 20 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6977286 + ... + 6984954.

It is an arithmetic number, because the mean of its divisors is an integer number (600250365).

Almost surely, 2^53538209280 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 53538209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96040058400).

53538209280 is an abundant number, since it is smaller than the sum of its proper divisors (138541907520).

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

53538209280 is a wasteful number, since it uses less digits than its factorization.

53538209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 53538209 and 280, that added together give a square (53538489 = 7317²).

The spelling of 53538209280 in words is "fifty-three billion, five hundred thirty-eight million, two hundred nine thousand, two hundred eighty".