10027297280 has 720 divisors, whose sum is σ = 33805452384. Its totient is φ = 2817884160.

The previous prime is 10027297279. The next prime is 10027297283. The reversal of 10027297280 is 8279272001.

It is not an unprimeable number, because it can be changed into a prime (10027297283) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 233192939 + ... + 233192981.

Almost surely, 2^10027297280 is an apocalyptic number.

10027297280 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 10027297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16902726192).

10027297280 is an abundant number, since it is smaller than the sum of its proper divisors (23778155104).

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

10027297280 is a wasteful number, since it uses less digits than its factorization.

10027297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 10027297280 in words is "ten billion, twenty-seven million, two hundred ninety-seven thousand, two hundred eighty".