53528460048 has 360 divisors, whose sum is σ = 187072332408. Its totient is φ = 14194704384.

The previous prime is 53528460017. The next prime is 53528460059. The reversal of 53528460048 is 84006482535.

53528460048 is a `hidden beast` number, since 5 + 35 + 2 + 8 + 4 + 600 + 4 + 8 = 666.

53528460048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17105500944 + 36422959104 = 130788^2 + 190848^2 .

It is a super-2 number, since 2×53528460048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53528459985 and 53528460012.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8753440 + ... + 8759552.

Almost surely, 2^53528460048 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 53528460048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93536166204).

53528460048 is an abundant number, since it is smaller than the sum of its proper divisors (133543872360).

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

53528460048 is a wasteful number, since it uses less digits than its factorization.

53528460048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 53528460048 in words is "fifty-three billion, five hundred twenty-eight million, four hundred sixty thousand, forty-eight".