10070867200 has 216 divisors, whose sum is σ = 26004585600. Its totient is φ = 3857817600.

The previous prime is 10070867153. The next prime is 10070867203. The reversal of 10070867200 is 276807001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070867203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16812501 + ... + 16813099.

It is an arithmetic number, because the mean of its divisors is an integer number (120391600).

Almost surely, 2^10070867200 is an apocalyptic number.

10070867200 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 10070867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002292800).

10070867200 is an abundant number, since it is smaller than the sum of its proper divisors (15933718400).

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

10070867200 is an equidigital number, since it uses as much as digits as its factorization.

10070867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 10070867200 in words is "ten billion, seventy million, eight hundred sixty-seven thousand, two hundred".