1053234514400 has 72 divisors (see below), whose sum is σ = 2575208785464. Its totient is φ = 420638400000.

The previous prime is 1053234514391. The next prime is 1053234514411. The reversal of 1053234514400 is 44154323501.

It is a super-2 number, since 2×1053234514400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509351 + ... + 1538150.

It is an arithmetic number, because the mean of its divisors is an integer number (35766788687).

Almost surely, 2^{1053234514400} is an apocalyptic number.

1053234514400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053234514400 is an abundant number, since it is smaller than the sum of its proper divisors (1521974271064).

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

1053234514400 is a wasteful number, since it uses less digits than its factorization.

1053234514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048164 (or 2048151 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 1053234514400 its reverse (44154323501), we get a palindrome (1097388837901).

The spelling of 1053234514400 in words is "one trillion, fifty-three billion, two hundred thirty-four million, five hundred fourteen thousand, four hundred".