10721106617760 has 2016 divisors, whose sum is σ = 49755217365504. Its totient is φ = 2155507200000.

The previous prime is 10721106617759. The next prime is 10721106617779. The reversal of 10721106617760 is 6771660112701.

It is a happy number.

10721106617760 is a `hidden beast` number, since 1 + 0 + 7 + 21 + 1 + 0 + 6 + 617 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×10721106617760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1948935010 + ... + 1948940510.

It is an arithmetic number, because the mean of its divisors is an integer number (24680167344).

Almost surely, 2^{10721106617760} is an apocalyptic number.

10721106617760 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 10721106617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24877608682752).

10721106617760 is an abundant number, since it is smaller than the sum of its proper divisors (39034110747744).

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

10721106617760 is a wasteful number, since it uses less digits than its factorization.

10721106617760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 10721106617760 in words is "ten trillion, seven hundred twenty-one billion, one hundred six million, six hundred seventeen thousand, seven hundred sixty".