5610535694400 has 1344 divisors, whose sum is σ = 23470355578880. Its totient is φ = 1141442150400.

The previous prime is 5610535694383. The next prime is 5610535694447. The reversal of 5610535694400 is 44965350165.

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

It is a super-2 number, since 2×5610535694400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5610535694400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4969473036 + ... + 4969474164.

Almost surely, 2^{5610535694400} is an apocalyptic number.

5610535694400 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 5610535694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11735177789440).

5610535694400 is an abundant number, since it is smaller than the sum of its proper divisors (17859819884480).

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

5610535694400 is a wasteful number, since it uses less digits than its factorization.

5610535694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 5610535694400 in words is "five trillion, six hundred ten billion, five hundred thirty-five million, six hundred ninety-four thousand, four hundred".