1053289327680 has 448 divisors, whose sum is σ = 3899118643200. Its totient is φ = 267155159040.

The previous prime is 1053289327613. The next prime is 1053289327787. The reversal of 1053289327680 is 867239823501.

1053289327680 is a `hidden beast` number, since 1 + 0 + 532 + 8 + 9 + 3 + 27 + 6 + 80 = 666.

It is a super-2 number, since 2×1053289327680² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35556075 + ... + 35585685.

Almost surely, 2^{1053289327680} is an apocalyptic number.

1053289327680 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 1053289327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949559321600).

1053289327680 is an abundant number, since it is smaller than the sum of its proper divisors (2845829315520).

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

1053289327680 is a wasteful number, since it uses less digits than its factorization.

1053289327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29839 (or 29823 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1053289327680 in words is "one trillion, fifty-three billion, two hundred eighty-nine million, three hundred twenty-seven thousand, six hundred eighty".