5377927478400 has 1152 divisors, whose sum is σ = 21173650008000. Its totient is φ = 1349246730240.

The previous prime is 5377927478381. The next prime is 5377927478423. The reversal of 5377927478400 is 48747297735.

5377927478400 is a `hidden beast` number, since 5 + 3 + 7 + 7 + 92 + 74 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2022536271 + ... + 2022538929.

Almost surely, 2^{5377927478400} is an apocalyptic number.

5377927478400 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 5377927478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10586825004000).

5377927478400 is an abundant number, since it is smaller than the sum of its proper divisors (15795722529600).

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

5377927478400 is an equidigital number, since it uses as much as digits as its factorization.

5377927478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 5377927478400 in words is "five trillion, three hundred seventy-seven billion, nine hundred twenty-seven million, four hundred seventy-eight thousand, four hundred".