5501934313200 has 360 divisors, whose sum is σ = 20692946656928. Its totient is φ = 1345694238720.

The previous prime is 5501934313199. The next prime is 5501934313207. The reversal of 5501934313200 is 23134391055.

5501934313200 is a `hidden beast` number, since 5 + 5 + 0 + 19 + 3 + 431 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5501934313207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6973197 + ... + 7722003.

Almost surely, 2^{5501934313200} is an apocalyptic number.

5501934313200 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 5501934313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346473328464).

5501934313200 is an abundant number, since it is smaller than the sum of its proper divisors (15191012343728).

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

5501934313200 is a wasteful number, since it uses less digits than its factorization.

5501934313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749001 (or 748987 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 5501934313200 in words is "five trillion, five hundred one billion, nine hundred thirty-four million, three hundred thirteen thousand, two hundred".