10253542420 has 72 divisors (see below), whose sum is σ = 23691186792. Its totient is φ = 3724892160.

The previous prime is 10253542417. The next prime is 10253542421. The reversal of 10253542420 is 2424535201.

It can be written as a sum of positive squares in 4 ways, for example, as 1044453124 + 9209089296 = 32318^2 + 95964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253542421) 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, 4241052 + ... + 4243468.

It is an arithmetic number, because the mean of its divisors is an integer number (329044261).

Almost surely, 2^10253542420 is an apocalyptic number.

10253542420 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 10253542420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845593396).

10253542420 is an abundant number, since it is smaller than the sum of its proper divisors (13437644372).

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

10253542420 is a wasteful number, since it uses less digits than its factorization.

10253542420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 10253542420 in words is "ten billion, two hundred fifty-three million, five hundred forty-two thousand, four hundred twenty".