10187270304 has 192 divisors, whose sum is σ = 28002433536. Its totient is φ = 3240566784.

The previous prime is 10187270297. The next prime is 10187270321. The reversal of 10187270304 is 40307278101.

It is a happy 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, 51711934 + ... + 51712130.

It is an arithmetic number, because the mean of its divisors is an integer number (145846008).

Almost surely, 2^10187270304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10187270304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001216768).

10187270304 is an abundant number, since it is smaller than the sum of its proper divisors (17815163232).

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

10187270304 is a wasteful number, since it uses less digits than its factorization.

10187270304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 10187270304 in words is "ten billion, one hundred eighty-seven million, two hundred seventy thousand, three hundred four".