10359480000 has 280 divisors, whose sum is σ = 34564685760. Its totient is φ = 2737280000.

The previous prime is 10359479989. The next prime is 10359480007. The reversal of 10359480000 is 8495301.

It is a super-3 number, since 3×10359480000³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10359480000.

It is not an unprimeable number, because it can be changed into a prime (10359480007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15719671 + ... + 15720329.

Almost surely, 2^10359480000 is an apocalyptic number.

10359480000 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 10359480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282342880).

10359480000 is an abundant number, since it is smaller than the sum of its proper divisors (24205205760).

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

10359480000 is an equidigital number, since it uses as much as digits as its factorization.

10359480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10359480000 in words is "ten billion, three hundred fifty-nine million, four hundred eighty thousand".