1053730736320 has 224 divisors, whose sum is σ = 2805737937408. Its totient is φ = 374875471872.

The previous prime is 1053730736281. The next prime is 1053730736353. The reversal of 1053730736320 is 236370373501.

1053730736320 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 2×1053730736320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10334227 + ... + 10435693.

It is an arithmetic number, because the mean of its divisors is an integer number (12525615792).

Almost surely, 2^{1053730736320} is an apocalyptic number.

1053730736320 is a gapful number since it is divisible by the number (10) 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 1053730736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402868968704).

1053730736320 is an abundant number, since it is smaller than the sum of its proper divisors (1752007201088).

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

1053730736320 is a wasteful number, since it uses less digits than its factorization.

1053730736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101607 (or 101597 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 40.

The spelling of 1053730736320 in words is "one trillion, fifty-three billion, seven hundred thirty million, seven hundred thirty-six thousand, three hundred twenty".