10716214080640 has 128 divisors (see below), whose sum is σ = 25689804966000. Its totient is φ = 4274561875968.

The previous prime is 10716214080569. The next prime is 10716214080641. The reversal of 10716214080640 is 4608041261701.

It can be written as a sum of positive squares in 8 ways, for example, as 2917509957184 + 7798704123456 = 1708072^2 + 2792616^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10716214080640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10716214080593 and 10716214080602.

It is not an unprimeable number, because it can be changed into a prime (10716214080641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373933192 + ... + 373961848.

Almost surely, 2^{10716214080640} is an apocalyptic number.

10716214080640 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 10716214080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844902483000).

10716214080640 is an abundant number, since it is smaller than the sum of its proper divisors (14973590885360).

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

10716214080640 is a wasteful number, since it uses less digits than its factorization.

10716214080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30282 (or 30270 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 10716214080640 in words is "ten trillion, seven hundred sixteen billion, two hundred fourteen million, eighty thousand, six hundred forty".