1216874741760 has 1020 divisors, whose sum is σ = 4640643203328. Its totient is φ = 305000349696.

The previous prime is 1216874741759. The next prime is 1216874741773. The reversal of 1216874741760 is 671474786121.

1216874741760 is a `hidden beast` number, since 1 + 2 + 168 + 7 + 4 + 7 + 417 + 60 = 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 = 1216874741697 and 1216874741706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9581690817 + ... + 9581690943.

Almost surely, 2^{1216874741760} is an apocalyptic number.

1216874741760 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 1216874741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320321601664).

1216874741760 is an abundant number, since it is smaller than the sum of its proper divisors (3423768461568).

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

1216874741760 is an frugal number, since it uses more digits than its factorization.

1216874741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 1216874741760 in words is "one trillion, two hundred sixteen billion, eight hundred seventy-four million, seven hundred forty-one thousand, seven hundred sixty".