1053332432000 has 128 divisors (see below), whose sum is σ = 2709154047600. Its totient is φ = 406804070400.

The previous prime is 1053332431993. The next prime is 1053332432041. The reversal of 1053332432000 is 2342333501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1165266496 + 1052167165504 = 34136^2 + 1025752^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1053332432000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671057 + ... + 1599056.

Almost surely, 2^{1053332432000} is an apocalyptic number.

1053332432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053332432000 is an abundant number, since it is smaller than the sum of its proper divisors (1655821615600).

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

1053332432000 is an equidigital number, since it uses as much as digits as its factorization.

1053332432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270171 (or 2270149 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 1053332432000 its reverse (2342333501), we get a palindrome (1055674765501).

The spelling of 1053332432000 in words is "one trillion, fifty-three billion, three hundred thirty-two million, four hundred thirty-two thousand".