5427649528200 has 768 divisors, whose sum is σ = 19458442080000. Its totient is φ = 1389826252800.

The previous prime is 5427649528183. The next prime is 5427649528207. The reversal of 5427649528200 is 28259467245.

5427649528200 is a `hidden beast` number, since 5 + 4 + 2 + 76 + 49 + 528 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5427649528207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2535099130 + ... + 2535101270.

It is an arithmetic number, because the mean of its divisors is an integer number (25336513125).

Almost surely, 2^{5427649528200} is an apocalyptic number.

5427649528200 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 5427649528200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729221040000).

5427649528200 is an abundant number, since it is smaller than the sum of its proper divisors (14030792551800).

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

5427649528200 is a wasteful number, since it uses less digits than its factorization.

5427649528200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5427649528200 in words is "five trillion, four hundred twenty-seven billion, six hundred forty-nine million, five hundred twenty-eight thousand, two hundred".