5537536248600 has 288 divisors, whose sum is σ = 18847493683200. Its totient is φ = 1456827744000.

The previous prime is 5537536248557. The next prime is 5537536248641. The reversal of 5537536248600 is 68426357355.

5537536248600 is a `hidden beast` number, since 5 + 5 + 3 + 7 + 5 + 3 + 6 + 24 + 8 + 600 = 666.

It is a super-2 number, since 2×5537536248600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 107392825 + ... + 107444375.

It is an arithmetic number, because the mean of its divisors is an integer number (65442686400).

Almost surely, 2^{5537536248600} is an apocalyptic number.

5537536248600 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 5537536248600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9423746841600).

5537536248600 is an abundant number, since it is smaller than the sum of its proper divisors (13309957434600).

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

5537536248600 is a wasteful number, since it uses less digits than its factorization.

5537536248600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52375 (or 52363 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 5537536248600 in words is "five trillion, five hundred thirty-seven billion, five hundred thirty-six million, two hundred forty-eight thousand, six hundred".