1217477842560 has 768 divisors, whose sum is σ = 5100610694400. Its totient is φ = 261227151360.

The previous prime is 1217477842523. The next prime is 1217477842571. The reversal of 1217477842560 is 652487747121.

1217477842560 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 4 + 7 + 78 + 4 + 2 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1217477842497 and 1217477842506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288568131 + ... + 288572349.

It is an arithmetic number, because the mean of its divisors is an integer number (6641420175).

Almost surely, 2^{1217477842560} is an apocalyptic number.

1217477842560 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 1217477842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550305347200).

1217477842560 is an abundant number, since it is smaller than the sum of its proper divisors (3883132851840).

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

1217477842560 is a wasteful number, since it uses less digits than its factorization.

1217477842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 1217477842560 in words is "one trillion, two hundred seventeen billion, four hundred seventy-seven million, eight hundred forty-two thousand, five hundred sixty".