1215771586560 has 1040 divisors, whose sum is σ = 4859615455200. Its totient is φ = 288947699712.

The previous prime is 1215771586559. The next prime is 1215771586597. The reversal of 1215771586560 is 656851775121.

1215771586560 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 7 + 7 + 1 + 586 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1215771586497 and 1215771586506.

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, 535817106 + ... + 535819374.

Almost surely, 2^{1215771586560} is an apocalyptic number.

1215771586560 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 1215771586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429807727600).

1215771586560 is an abundant number, since it is smaller than the sum of its proper divisors (3643843868640).

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

1215771586560 is a wasteful number, since it uses less digits than its factorization.

1215771586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 1215771586560 in words is "one trillion, two hundred fifteen billion, seven hundred seventy-one million, five hundred eighty-six thousand, five hundred sixty".