10253215025340 has 192 divisors, whose sum is σ = 33045038208000. Its totient is φ = 2326838022144.

The previous prime is 10253215025327. The next prime is 10253215025341. The reversal of 10253215025340 is 4352051235201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253215025341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146840356 + ... + 146910164.

It is an arithmetic number, because the mean of its divisors is an integer number (172109574000).

Almost surely, 2^{10253215025340} is an apocalyptic number.

10253215025340 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 10253215025340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522519104000).

10253215025340 is an abundant number, since it is smaller than the sum of its proper divisors (22791823182660).

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

10253215025340 is a wasteful number, since it uses less digits than its factorization.

10253215025340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72324 (or 72322 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 10253215025340 in words is "ten trillion, two hundred fifty-three billion, two hundred fifteen million, twenty-five thousand, three hundred forty".