10817616970240 has 80 divisors (see below), whose sum is σ = 26540111556288. Its totient is φ = 4226417750016.

The previous prime is 10817616970163. The next prime is 10817616970249. The reversal of 10817616970240 is 4207961671801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10817616970249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49025172 + ... + 49245331.

Almost surely, 2^{10817616970240} is an apocalyptic number.

10817616970240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10817616970240 is an abundant number, since it is smaller than the sum of its proper divisors (15722494586048).

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

10817616970240 is an frugal number, since it uses more digits than its factorization.

10817616970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98270569 (or 98270553 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 10817616970240 in words is "ten trillion, eight hundred seventeen billion, six hundred sixteen million, nine hundred seventy thousand, two hundred forty".