1217872658760 has 128 divisors (see below), whose sum is σ = 3672012960000. Its totient is φ = 323133981696.

The previous prime is 1217872658759. The next prime is 1217872658777. The reversal of 1217872658760 is 678562787121.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1217872658694 and 1217872658703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26139966 + ... + 26186514.

It is an arithmetic number, because the mean of its divisors is an integer number (28687601250).

Almost surely, 2^{1217872658760} is an apocalyptic number.

1217872658760 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 1217872658760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836006480000).

1217872658760 is an abundant number, since it is smaller than the sum of its proper divisors (2454140301240).

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

1217872658760 is a wasteful number, since it uses less digits than its factorization.

1217872658760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47655 (or 47651 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 1217872658760 in words is "one trillion, two hundred seventeen billion, eight hundred seventy-two million, six hundred fifty-eight thousand, seven hundred sixty".