1187618215680 has 1512 divisors, whose sum is σ = 4901159965968. Its totient is φ = 274519425024.

The previous prime is 1187618215613. The next prime is 1187618215687. The reversal of 1187618215680 is 865128167811.

1187618215680 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 618 + 2 + 15 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187618215687) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 2680853539 + ... + 2680853981.

It is an arithmetic number, because the mean of its divisors is an integer number (3241507914).

Almost surely, 2^{1187618215680} is an apocalyptic number.

1187618215680 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 1187618215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450579982984).

1187618215680 is an abundant number, since it is smaller than the sum of its proper divisors (3713541750288).

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

1187618215680 is an equidigital number, since it uses as much as digits as its factorization.

1187618215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 1187618215680 in words is "one trillion, one hundred eighty-seven billion, six hundred eighteen million, two hundred fifteen thousand, six hundred eighty".