10249304520 has 384 divisors, whose sum is σ = 40552444800. Its totient is φ = 2048385024.

The previous prime is 10249304519. The next prime is 10249304543. The reversal of 10249304520 is 2540394201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1448832 + ... + 1455888.

It is an arithmetic number, because the mean of its divisors is an integer number (105605325).

Almost surely, 2^10249304520 is an apocalyptic number.

10249304520 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 10249304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20276222400).

10249304520 is an abundant number, since it is smaller than the sum of its proper divisors (30303140280).

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

10249304520 is a wasteful number, since it uses less digits than its factorization.

10249304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10249304520 its reverse (2540394201), we get a palindrome (12789698721).

The spelling of 10249304520 in words is "ten billion, two hundred forty-nine million, three hundred four thousand, five hundred twenty".