5616240537600 has 4992 divisors, whose sum is σ = 28456052981760. Its totient is φ = 1051066368000.

The previous prime is 5616240537553. The next prime is 5616240537619. The reversal of 5616240537600 is 67350426165.

5616240537600 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 2 + 4 + 0 + 5 + 37 + 600 = 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 383 ways as a sum of consecutive naturals, for example, 151790284782 + ... + 151790284818.

Almost surely, 2^{5616240537600} is an apocalyptic number.

5616240537600 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 5616240537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228026490880).

5616240537600 is an abundant number, since it is smaller than the sum of its proper divisors (22839812444160).

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

5616240537600 is a wasteful number, since it uses less digits than its factorization.

5616240537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 5616240537600 in words is "five trillion, six hundred sixteen billion, two hundred forty million, five hundred thirty-seven thousand, six hundred".