5415683961600 has 2592 divisors, whose sum is σ = 23366680436736. Its totient is φ = 1181653401600.

The previous prime is 5415683961559. The next prime is 5415683961613. The reversal of 5415683961600 is 61693865145.

5415683961600 is a `hidden beast` number, since 5 + 4 + 15 + 6 + 8 + 3 + 9 + 616 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42643180737 + ... + 42643180863.

It is an arithmetic number, because the mean of its divisors is an integer number (9014923008).

Almost surely, 2^{5415683961600} is an apocalyptic number.

5415683961600 is a gapful number since it is divisible by the number (50) 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 5415683961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683340218368).

5415683961600 is an abundant number, since it is smaller than the sum of its proper divisors (17950996475136).

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

5415683961600 is a wasteful number, since it uses less digits than its factorization.

5415683961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5415683961600 in words is "five trillion, four hundred fifteen billion, six hundred eighty-three million, nine hundred sixty-one thousand, six hundred".