53319228480 has 420 divisors, whose sum is σ = 220636988748. Its totient is φ = 12186961920.

The previous prime is 53319228449. The next prime is 53319228481. The reversal of 53319228480 is 8482291335.

53319228480 is a `hidden beast` number, since 53 + 31 + 92 + 2 + 8 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7868399616 + 45450828864 = 88704^2 + 213192^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×53319228480² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53319228481) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1249090 + ... + 1291070.

Almost surely, 2^53319228480 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 53319228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110318494374).

53319228480 is an abundant number, since it is smaller than the sum of its proper divisors (167317760268).

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

53319228480 is a wasteful number, since it uses less digits than its factorization.

53319228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42024 (or 41998 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 53319228480 in words is "fifty-three billion, three hundred nineteen million, two hundred twenty-eight thousand, four hundred eighty".