10281600000 has 1056 divisors, whose sum is σ = 46054552320. Its totient is φ = 2211840000.

The previous prime is 10281599953. The next prime is 10281600029. The reversal of 10281600000 is 618201.

It is a super-2 number, since 2×10281600000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604799992 + ... + 604800008.

Almost surely, 2^10281600000 is an apocalyptic number.

10281600000 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 10281600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027276160).

10281600000 is an abundant number, since it is smaller than the sum of its proper divisors (35772952320).

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

10281600000 is an frugal number, since it uses more digits than its factorization.

10281600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 10281600000 in words is "ten billion, two hundred eighty-one million, six hundred thousand".