5189633303400 has 1152 divisors, whose sum is σ = 21706010726400. Its totient is φ = 1081992038400.

The previous prime is 5189633303329. The next prime is 5189633303401. The reversal of 5189633303400 is 43033369815.

5189633303400 is a `hidden beast` number, since 5 + 1 + 8 + 9 + 633 + 3 + 0 + 3 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5189633303401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7875012271 + ... + 7875012929.

It is an arithmetic number, because the mean of its divisors is an integer number (18842023200).

Almost surely, 2^{5189633303400} is an apocalyptic number.

5189633303400 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 5189633303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853005363200).

5189633303400 is an abundant number, since it is smaller than the sum of its proper divisors (16516377423000).

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

5189633303400 is a wasteful number, since it uses less digits than its factorization.

5189633303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 5189633303400 in words is "five trillion, one hundred eighty-nine billion, six hundred thirty-three million, three hundred three thousand, four hundred".