1053725582448 has 1200 divisors, whose sum is σ = 4022992512000. Its totient is φ = 260289469440.

The previous prime is 1053725582423. The next prime is 1053725582453. The reversal of 1053725582448 is 8442855273501.

It is a happy number.

1053725582448 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 72 + 55 + 82 + 448 = 666.

1053725582448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053725582448² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1053725582394 and 1053725582403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2514857983 + ... + 2514858401.

It is an arithmetic number, because the mean of its divisors is an integer number (3352493760).

Almost surely, 2^{1053725582448} is an apocalyptic number.

1053725582448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053725582448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011496256000).

1053725582448 is an abundant number, since it is smaller than the sum of its proper divisors (2969266929552).

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

1053725582448 is a wasteful number, since it uses less digits than its factorization.

1053725582448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 1053725582448 in words is "one trillion, fifty-three billion, seven hundred twenty-five million, five hundred eighty-two thousand, four hundred forty-eight".