10249208420 has 96 divisors (see below), whose sum is σ = 24653220480. Its totient is φ = 3544611840.

The previous prime is 10249208419. The next prime is 10249208429. The reversal of 10249208420 is 2480294201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10249208429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415472 + ... + 439448.

It is an arithmetic number, because the mean of its divisors is an integer number (256804380).

Almost surely, 2^10249208420 is an apocalyptic number.

10249208420 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 10249208420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12326610240).

10249208420 is an abundant number, since it is smaller than the sum of its proper divisors (14404012060).

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

10249208420 is a wasteful number, since it uses less digits than its factorization.

10249208420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24093 (or 24091 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 10249208420 in words is "ten billion, two hundred forty-nine million, two hundred eight thousand, four hundred twenty".