10359509952 has 224 divisors, whose sum is σ = 30623182848. Its totient is φ = 3064320000.

The previous prime is 10359509947. The next prime is 10359510023. The reversal of 10359509952 is 25990595301.

It is a super-3 number, since 3×10359509952³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24606702 + ... + 24607122.

Almost surely, 2^10359509952 is an apocalyptic number.

10359509952 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 10359509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311591424).

10359509952 is an abundant number, since it is smaller than the sum of its proper divisors (20263672896).

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

10359509952 is a wasteful number, since it uses less digits than its factorization.

10359509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 48.

The spelling of 10359509952 in words is "ten billion, three hundred fifty-nine million, five hundred nine thousand, nine hundred fifty-two".