5503007273400 has 1920 divisors, whose sum is σ = 25992766356480. Its totient is φ = 1045154119680.

The previous prime is 5503007273399. The next prime is 5503007273447. The reversal of 5503007273400 is 43727003055.

5503007273400 is a `hidden beast` number, since 5 + 5 + 0 + 300 + 7 + 2 + 7 + 340 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 576407427 + ... + 576416973.

It is an arithmetic number, because the mean of its divisors is an integer number (13537899144).

Almost surely, 2^{5503007273400} is an apocalyptic number.

5503007273400 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 5503007273400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12996383178240).

5503007273400 is an abundant number, since it is smaller than the sum of its proper divisors (20489759083080).

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

5503007273400 is a wasteful number, since it uses less digits than its factorization.

5503007273400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9635 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The spelling of 5503007273400 in words is "five trillion, five hundred three billion, seven million, two hundred seventy-three thousand, four hundred".