10721700000 has 864 divisors, whose sum is σ = 45002744640. Its totient is φ = 2462400000.

The previous prime is 10721699999. The next prime is 10721700007. The reversal of 10721700000 is 712701.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10721700000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10721700007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 564299991 + ... + 564300009.

It is an arithmetic number, because the mean of its divisors is an integer number (52086510).

Almost surely, 2^10721700000 is an apocalyptic number.

10721700000 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 10721700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22501372320).

10721700000 is an abundant number, since it is smaller than the sum of its proper divisors (34281044640).

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

10721700000 is an equidigital number, since it uses as much as digits as its factorization.

10721700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The spelling of 10721700000 in words is "ten billion, seven hundred twenty-one million, seven hundred thousand".