53219258880 has 320 divisors, whose sum is σ = 183566072448. Its totient is φ = 13103267840.

The previous prime is 53219258849. The next prime is 53219258891. The reversal of 53219258880 is 8885291235.

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 (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6915835 + ... + 6923525.

Almost surely, 2^53219258880 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 53219258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91783036224).

53219258880 is an abundant number, since it is smaller than the sum of its proper divisors (130346813568).

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

53219258880 is a wasteful number, since it uses less digits than its factorization.

53219258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 53219258880 in words is "fifty-three billion, two hundred nineteen million, two hundred fifty-eight thousand, eight hundred eighty".