1002217678560 has 480 divisors, whose sum is σ = 4118567124672. Its totient is φ = 224755015680.

The previous prime is 1002217678537. The next prime is 1002217678573. The reversal of 1002217678560 is 658767122001.

1002217678560 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 17 + 6 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4703940 + ... + 4912380.

Almost surely, 2^{1002217678560} is an apocalyptic number.

1002217678560 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 1002217678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059283562336).

1002217678560 is an abundant number, since it is smaller than the sum of its proper divisors (3116349446112).

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

1002217678560 is a wasteful number, since it uses less digits than its factorization.

1002217678560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208528 (or 208511 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1002217678560 in words is "one trillion, two billion, two hundred seventeen million, six hundred seventy-eight thousand, five hundred sixty".