10360987280 has 400 divisors, whose sum is σ = 31509233280. Its totient is φ = 3148443648.

The previous prime is 10360987211. The next prime is 10360987313. The reversal of 10360987280 is 8278906301.

It is a super-3 number, since 3×10360987280³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62041757 + ... + 62041923.

Almost surely, 2^10360987280 is an apocalyptic number.

10360987280 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 10360987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754616640).

10360987280 is an abundant number, since it is smaller than the sum of its proper divisors (21148246000).

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

10360987280 is a wasteful number, since it uses less digits than its factorization.

10360987280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 10360987280 in words is "ten billion, three hundred sixty million, nine hundred eighty-seven thousand, two hundred eighty".