10242448700 has 72 divisors (see below), whose sum is σ = 24266196864. Its totient is φ = 3721528000.

The previous prime is 10242448687. The next prime is 10242448709. The reversal of 10242448700 is 784424201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242448709) 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, 1725137 + ... + 1731063.

It is an arithmetic number, because the mean of its divisors is an integer number (337030512).

Almost surely, 2^10242448700 is an apocalyptic number.

10242448700 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 10242448700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133098432).

10242448700 is an abundant number, since it is smaller than the sum of its proper divisors (14023748164).

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

10242448700 is a wasteful number, since it uses less digits than its factorization.

10242448700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The spelling of 10242448700 in words is "ten billion, two hundred forty-two million, four hundred forty-eight thousand, seven hundred".