1024125053504 has 112 divisors (see below), whose sum is σ = 2371197696000. Its totient is φ = 438683148288.

The previous prime is 1024125053491. The next prime is 1024125053509. The reversal of 1024125053504 is 4053505214201.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (1024125053509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46373537 + ... + 46395615.

It is an arithmetic number, because the mean of its divisors is an integer number (21171408000).

Almost surely, 2^{1024125053504} is an apocalyptic number.

1024125053504 is a gapful number since it is divisible by the number (14) 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 1024125053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185598848000).

1024125053504 is an abundant number, since it is smaller than the sum of its proper divisors (1347072642496).

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

1024125053504 is an equidigital number, since it uses as much as digits as its factorization.

1024125053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24225 (or 24201 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 1024125053504 in words is "one trillion, twenty-four billion, one hundred twenty-five million, fifty-three thousand, five hundred four".