10720571200 has 84 divisors (see below), whose sum is σ = 26399868460. Its totient is φ = 4284887040.

The previous prime is 10720571137. The next prime is 10720571243. The reversal of 10720571200 is 217502701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 710968896 + 10009602304 = 26664^2 + 100048^2 .

It is a super-2 number, since 2×10720571200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3628924 + ... + 3631876.

Almost surely, 2^10720571200 is an apocalyptic number.

10720571200 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 10720571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199934230).

10720571200 is an abundant number, since it is smaller than the sum of its proper divisors (15679297260).

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

10720571200 is a wasteful number, since it uses less digits than its factorization.

10720571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The spelling of 10720571200 in words is "ten billion, seven hundred twenty million, five hundred seventy-one thousand, two hundred".