1053982102400 has 384 divisors, whose sum is σ = 2913370675200. Its totient is φ = 374701916160.

The previous prime is 1053982102387. The next prime is 1053982102493. The reversal of 1053982102400 is 42012893501.

It is a super-2 number, since 2×1053982102400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98839469 + ... + 98850131.

It is an arithmetic number, because the mean of its divisors is an integer number (7586902800).

Almost surely, 2^{1053982102400} is an apocalyptic number.

1053982102400 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 1053982102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456685337600).

1053982102400 is an abundant number, since it is smaller than the sum of its proper divisors (1859388572800).

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

1053982102400 is a wasteful number, since it uses less digits than its factorization.

1053982102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 1053982102400 its reverse (42012893501), we get a palindrome (1095994995901).

The spelling of 1053982102400 in words is "one trillion, fifty-three billion, nine hundred eighty-two million, one hundred two thousand, four hundred".