1216180518840 has 1536 divisors, whose sum is σ = 5209484544000. Its totient is φ = 246224240640.

The previous prime is 1216180518827. The next prime is 1216180518877. The reversal of 1216180518840 is 488150816121.

1216180518840 is a `hidden beast` number, since 1 + 2 + 16 + 1 + 80 + 518 + 8 + 40 = 666.

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 383 ways as a sum of consecutive naturals, for example, 5310831846 + ... + 5310832074.

It is an arithmetic number, because the mean of its divisors is an integer number (3391591500).

Almost surely, 2^{1216180518840} is an apocalyptic number.

1216180518840 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 1216180518840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604742272000).

1216180518840 is an abundant number, since it is smaller than the sum of its proper divisors (3993304025160).

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

1216180518840 is a wasteful number, since it uses less digits than its factorization.

1216180518840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 1216180518840 in words is "one trillion, two hundred sixteen billion, one hundred eighty million, five hundred eighteen thousand, eight hundred forty".