10253531200000 has 240 divisors, whose sum is σ = 27935127224928. Its totient is φ = 3728550400000.

The previous prime is 10253531199971. The next prime is 10253531200001. The reversal of 10253531200000 is 213535201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10253531200001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17308707 + ... + 17891293.

Almost surely, 2^{10253531200000} is an apocalyptic number.

10253531200000 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 10253531200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967563612464).

10253531200000 is an abundant number, since it is smaller than the sum of its proper divisors (17681596024928).

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

10253531200000 is an frugal number, since it uses more digits than its factorization.

10253531200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582641 (or 582605 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 10253531200000 its reverse (213535201), we get a palindrome (10253744735201).

The spelling of 10253531200000 in words is "ten trillion, two hundred fifty-three billion, five hundred thirty-one million, two hundred thousand".