10289260800 has 972 divisors, whose sum is σ = 45825858624. Its totient is φ = 2156544000.

The previous prime is 10289260799. The next prime is 10289260843. The reversal of 10289260800 is 806298201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68140725 + ... + 68140875.

Almost surely, 2^10289260800 is an apocalyptic number.

10289260800 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 10289260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22912929312).

10289260800 is an abundant number, since it is smaller than the sum of its proper divisors (35536597824).

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

10289260800 is a wasteful number, since it uses less digits than its factorization.

10289260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10289260800 in words is "ten billion, two hundred eighty-nine million, two hundred sixty thousand, eight hundred".