5501293459200 has 4320 divisors, whose sum is σ = 27477704314368. Its totient is φ = 1059825254400.

The previous prime is 5501293459159. The next prime is 5501293459201. The reversal of 5501293459200 is 29543921055.

5501293459200 is a `hidden beast` number, since 5 + 5 + 0 + 1 + 29 + 34 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5501293459201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 82108857567 + ... + 82108857633.

Almost surely, 2^{5501293459200} is an apocalyptic number.

5501293459200 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 5501293459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738852157184).

5501293459200 is an abundant number, since it is smaller than the sum of its proper divisors (21976410855168).

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

5501293459200 is a wasteful number, since it uses less digits than its factorization.

5501293459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 5501293459200 in words is "five trillion, five hundred one billion, two hundred ninety-three million, four hundred fifty-nine thousand, two hundred".