10353124240000 has 160 divisors (see below), whose sum is σ = 25786359973440. Its totient is φ = 4139176320000.

The previous prime is 10353124239971. The next prime is 10353124240021. The reversal of 10353124240000 is 4242135301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165008635 + ... + 165071365.

It is an arithmetic number, because the mean of its divisors is an integer number (161164749834).

Almost surely, 2^{10353124240000} is an apocalyptic number.

10353124240000 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 10353124240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893179986720).

10353124240000 is an abundant number, since it is smaller than the sum of its proper divisors (15433235733440).

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

10353124240000 is an frugal number, since it uses more digits than its factorization.

10353124240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64828 (or 64801 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10353124240000 its reverse (4242135301), we get a palindrome (10357366375301).

The spelling of 10353124240000 in words is "ten trillion, three hundred fifty-three billion, one hundred twenty-four million, two hundred forty thousand".