10024840800 has 576 divisors, whose sum is σ = 41122368000. Its totient is φ = 2336532480.

The previous prime is 10024840783. The next prime is 10024840817. The reversal of 10024840800 is 804842001.

10024840800 is a `hidden beast` number, since 10 + 0 + 248 + 408 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10024840783) and next prime (10024840817).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5334261 + ... + 5336139.

It is an arithmetic number, because the mean of its divisors is an integer number (71393000).

Almost surely, 2^10024840800 is an apocalyptic number.

10024840800 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 10024840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561184000).

10024840800 is an abundant number, since it is smaller than the sum of its proper divisors (31097527200).

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

10024840800 is a wasteful number, since it uses less digits than its factorization.

10024840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 10024840800 in words is "ten billion, twenty-four million, eight hundred forty thousand, eight hundred".