10271784960 has 476 divisors, whose sum is σ = 37820799192. Its totient is φ = 2675441664.

The previous prime is 10271784953. The next prime is 10271784961. The reversal of 10271784960 is 6948717201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271784961) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 238878699 + ... + 238878741.

Almost surely, 2^10271784960 is an apocalyptic number.

10271784960 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 10271784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910399596).

10271784960 is an abundant number, since it is smaller than the sum of its proper divisors (27549014232).

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

10271784960 is an frugal number, since it uses more digits than its factorization.

10271784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10271784960 in words is "ten billion, two hundred seventy-one million, seven hundred eighty-four thousand, nine hundred sixty".