1185792820416 has 420 divisors, whose sum is σ = 3744885652200. Its totient is φ = 370929106944.

The previous prime is 1185792820391. The next prime is 1185792820453. The reversal of 1185792820416 is 6140282975811.

1185792820416 is a `hidden beast` number, since 1 + 1 + 8 + 579 + 2 + 8 + 20 + 41 + 6 = 666.

It is a super-2 number, since 2×1185792820416² (a number of 25 digits) contains 22 as substring.

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

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, 627734800 + ... + 627736688.

It is an arithmetic number, because the mean of its divisors is an integer number (8916394410).

Almost surely, 2^{1185792820416} is an apocalyptic number.

1185792820416 is a gapful number since it is divisible by the number (16) 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 1185792820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872442826100).

1185792820416 is an abundant number, since it is smaller than the sum of its proper divisors (2559092831784).

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

1185792820416 is a wasteful number, since it uses less digits than its factorization.

1185792820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1185792820416 in words is "one trillion, one hundred eighty-five billion, seven hundred ninety-two million, eight hundred twenty thousand, four hundred sixteen".