5613106752000 has 720 divisors, whose sum is σ = 22222661236776. Its totient is φ = 1360736256000.

The previous prime is 5613106751981. The next prime is 5613106752131. The reversal of 5613106752000 is 2576013165.

5613106752000 is a `hidden beast` number, since 5 + 61 + 3 + 10 + 67 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1504410183936 + 4108696568064 = 1226544^2 + 2026992^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 69655732 + ... + 69736268.

Almost surely, 2^{5613106752000} is an apocalyptic number.

5613106752000 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 5613106752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11111330618388).

5613106752000 is an abundant number, since it is smaller than the sum of its proper divisors (16609554484776).

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

5613106752000 is a wasteful number, since it uses less digits than its factorization.

5613106752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80598 (or 80558 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 5613106752000 in words is "five trillion, six hundred thirteen billion, one hundred six million, seven hundred fifty-two thousand".