53482523028480 has 2816 divisors, whose sum is σ = 240394858905600. Its totient is φ = 11114166878208.

The previous prime is 53482523028469. The next prime is 53482523028523. The reversal of 53482523028480 is 8482032528435.

53482523028480 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 252 + 30 + 284 + 80 = 666.

It is a super-2 number, since 2×53482523028480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74384593561 + ... + 74384594279.

Almost surely, 2^{53482523028480} 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 53482523028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120197429452800).

53482523028480 is an abundant number, since it is smaller than the sum of its proper divisors (186912335877120).

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

53482523028480 is an equidigital number, since it uses as much as digits as its factorization.

53482523028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 53482523028480 in words is "fifty-three trillion, four hundred eighty-two billion, five hundred twenty-three million, twenty-eight thousand, four hundred eighty".