5606134934400 has 7680 divisors, whose sum is σ = 31099849482240. Its totient is φ = 955514880000.

The previous prime is 5606134934399. The next prime is 5606134934437. The reversal of 5606134934400 is 44394316065.

5606134934400 is a `hidden beast` number, since 5 + 60 + 61 + 3 + 4 + 93 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 136734998380 + ... + 136734998420.

It is an arithmetic number, because the mean of its divisors is an integer number (4049459568).

Almost surely, 2^{5606134934400} is an apocalyptic number.

5606134934400 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 5606134934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549924741120).

5606134934400 is an abundant number, since it is smaller than the sum of its proper divisors (25493714547840).

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

5606134934400 is a wasteful number, since it uses less digits than its factorization.

5606134934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 5606134934400 in words is "five trillion, six hundred six billion, one hundred thirty-four million, nine hundred thirty-four thousand, four hundred".