1293015778560 has 1080 divisors, whose sum is σ = 5362979551776. Its totient is φ = 294944440320.

The previous prime is 1293015778547. The next prime is 1293015778603. The reversal of 1293015778560 is 658775103921.

1293015778560 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 0 + 1 + 5 + 7 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 1293015778497 and 1293015778506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 329596759 + ... + 329600681.

Almost surely, 2^{1293015778560} is an apocalyptic number.

1293015778560 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 1293015778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681489775888).

1293015778560 is an abundant number, since it is smaller than the sum of its proper divisors (4069963773216).

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

1293015778560 is a wasteful number, since it uses less digits than its factorization.

1293015778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 1293015778560 in words is "one trillion, two hundred ninety-three billion, fifteen million, seven hundred seventy-eight thousand, five hundred sixty".