10287944480 has 96 divisors (see below), whose sum is σ = 27015363648. Its totient is φ = 3670451200.

The previous prime is 10287944479. The next prime is 10287944483. The reversal of 10287944480 is 8444978201.

It is not an unprimeable number, because it can be changed into a prime (10287944483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38135 + ... + 148425.

It is an arithmetic number, because the mean of its divisors is an integer number (281410038).

Almost surely, 2^10287944480 is an apocalyptic number.

10287944480 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 10287944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507681824).

10287944480 is an abundant number, since it is smaller than the sum of its proper divisors (16727419168).

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

10287944480 is a wasteful number, since it uses less digits than its factorization.

10287944480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110370 (or 110362 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 10287944480 in words is "ten billion, two hundred eighty-seven million, nine hundred forty-four thousand, four hundred eighty".