5605432934400 has 1440 divisors, whose sum is σ = 22425755770880. Its totient is φ = 1364475248640.

The previous prime is 5605432934359. The next prime is 5605432934419. The reversal of 5605432934400 is 44392345065.

5605432934400 is a `hidden beast` number, since 5 + 60 + 543 + 2 + 9 + 3 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18258739047 + ... + 18258739353.

Almost surely, 2^{5605432934400} is an apocalyptic number.

5605432934400 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 5605432934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212877885440).

5605432934400 is an abundant number, since it is smaller than the sum of its proper divisors (16820322836480).

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

5605432934400 is a wasteful number, since it uses less digits than its factorization.

5605432934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

It can be divided in two parts, 560543 and 2934400, that added together give a palindrome (3494943).

The spelling of 5605432934400 in words is "five trillion, six hundred five billion, four hundred thirty-two million, nine hundred thirty-four thousand, four hundred".