5512361601600 has 1344 divisors, whose sum is σ = 24611024793600. Its totient is φ = 1171474513920.

The previous prime is 5512361601557. The next prime is 5512361601619. The reversal of 5512361601600 is 61061632155.

5512361601600 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 36 + 16 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×5512361601600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 426679941 + ... + 426692859.

It is an arithmetic number, because the mean of its divisors is an integer number (18311774400).

Almost surely, 2^{5512361601600} is an apocalyptic number.

5512361601600 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 5512361601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12305512396800).

5512361601600 is an abundant number, since it is smaller than the sum of its proper divisors (19098663192000).

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

5512361601600 is a wasteful number, since it uses less digits than its factorization.

5512361601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13057 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 5512361601600 in words is "five trillion, five hundred twelve billion, three hundred sixty-one million, six hundred one thousand, six hundred".