10350824484 has 648 divisors, whose sum is σ = 36231600384. Its totient is φ = 2275257600.

The previous prime is 10350824483. The next prime is 10350824489. The reversal of 10350824484 is 48442805301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10350824483) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 333897549 + ... + 333897579.

Almost surely, 2^10350824484 is an apocalyptic number.

10350824484 is a gapful number since it is divisible by the number (14) 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 10350824484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115800192).

10350824484 is an abundant number, since it is smaller than the sum of its proper divisors (25880775900).

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

10350824484 is a wasteful number, since it uses less digits than its factorization.

10350824484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 10350824484 in words is "ten billion, three hundred fifty million, eight hundred twenty-four thousand, four hundred eighty-four".