1053027393600 has 1344 divisors, whose sum is σ = 4621375324160. Its totient is φ = 203644108800.

The previous prime is 1053027393571. The next prime is 1053027393689. The reversal of 1053027393600 is 63937203501.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1053027393600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257273154 + ... + 257277246.

Almost surely, 2^{1053027393600} is an apocalyptic number.

1053027393600 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 1053027393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310687662080).

1053027393600 is an abundant number, since it is smaller than the sum of its proper divisors (3568347930560).

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

1053027393600 is a wasteful number, since it uses less digits than its factorization.

1053027393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The spelling of 1053027393600 in words is "one trillion, fifty-three billion, twenty-seven million, three hundred ninety-three thousand, six hundred".