1053793284544 has 448 divisors, whose sum is σ = 2956124989440. Its totient is φ = 359244103680.

The previous prime is 1053793284541. The next prime is 1053793284587. The reversal of 1053793284544 is 4454823973501.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1053793284544² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053793284541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166499172 + ... + 166505500.

It is an arithmetic number, because the mean of its divisors is an integer number (6598493280).

Almost surely, 2^{1053793284544} is an apocalyptic number.

1053793284544 is a gapful number since it is divisible by the number (14) 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 1053793284544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478062494720).

1053793284544 is an abundant number, since it is smaller than the sum of its proper divisors (1902331704896).

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

1053793284544 is a wasteful number, since it uses less digits than its factorization.

1053793284544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 1053793284544 in words is "one trillion, fifty-three billion, seven hundred ninety-three million, two hundred eighty-four thousand, five hundred forty-four".