10287820800 has 468 divisors, whose sum is σ = 38423325720. Its totient is φ = 2698444800.

The previous prime is 10287820799. The next prime is 10287820813. The reversal of 10287820800 is 802878201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168652770 + ... + 168652830.

Almost surely, 2^10287820800 is an apocalyptic number.

10287820800 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 10287820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19211662860).

10287820800 is an abundant number, since it is smaller than the sum of its proper divisors (28135504920).

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

10287820800 is an frugal number, since it uses more digits than its factorization.

10287820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10287820800 in words is "ten billion, two hundred eighty-seven million, eight hundred twenty thousand, eight hundred".