10309508352 has 648 divisors, whose sum is σ = 36761830560. Its totient is φ = 2750791680.

The previous prime is 10309508333. The next prime is 10309508369. The reversal of 10309508352 is 25380590301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124210903 + ... + 124210985.

It is an arithmetic number, because the mean of its divisors is an integer number (56731220).

Almost surely, 2^10309508352 is an apocalyptic number.

10309508352 is a gapful number since it is divisible by the number (12) 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 10309508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18380915280).

10309508352 is an abundant number, since it is smaller than the sum of its proper divisors (26452322208).

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

10309508352 is a wasteful number, since it uses less digits than its factorization.

10309508352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10309508352 in words is "ten billion, three hundred nine million, five hundred eight thousand, three hundred fifty-two".