10005712800 has 144 divisors (see below), whose sum is σ = 32807400192. Its totient is φ = 2648627200.

The previous prime is 10005712781. The next prime is 10005712811. The reversal of 10005712800 is 821750001.

It is a super-2 number, since 2×10005712800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313585 + ... + 344015.

It is an arithmetic number, because the mean of its divisors is an integer number (227829168).

Almost surely, 2^10005712800 is an apocalyptic number.

10005712800 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 10005712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16403700096).

10005712800 is an abundant number, since it is smaller than the sum of its proper divisors (22801687392).

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

10005712800 is a wasteful number, since it uses less digits than its factorization.

10005712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30591 (or 30578 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The spelling of 10005712800 in words is "ten billion, five million, seven hundred twelve thousand, eight hundred".