10510720200 has 288 divisors, whose sum is σ = 37793340000. Its totient is φ = 2609832960.

The previous prime is 10510720193. The next prime is 10510720201. The reversal of 10510720200 is 202701501.

It is a super-2 number, since 2×10510720200² (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 not an unprimeable number, because it can be changed into a prime (10510720201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2015196 + ... + 2020404.

It is an arithmetic number, because the mean of its divisors is an integer number (131226875).

Almost surely, 2^10510720200 is an apocalyptic number.

10510720200 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 10510720200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18896670000).

10510720200 is an abundant number, since it is smaller than the sum of its proper divisors (27282619800).

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

10510720200 is a wasteful number, since it uses less digits than its factorization.

10510720200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The spelling of 10510720200 in words is "ten billion, five hundred ten million, seven hundred twenty thousand, two hundred".