5363850100 has 288 divisors, whose sum is σ = 14629063680. Its totient is φ = 1666344960.

The previous prime is 5363850091. The next prime is 5363850103. The reversal of 5363850100 is 10583635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5363850103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47467644 + ... + 47467756.

It is an arithmetic number, because the mean of its divisors is an integer number (50795360).

Almost surely, 2^5363850100 is an apocalyptic number.

5363850100 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 5363850100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314531840).

5363850100 is an abundant number, since it is smaller than the sum of its proper divisors (9265213580).

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

5363850100 is a wasteful number, since it uses less digits than its factorization.

5363850100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 5363850100 is about 73238.3103300452. The cubic root of 5363850100 is about 1750.4869502043.

The spelling of 5363850100 in words is "five billion, three hundred sixty-three million, eight hundred fifty thousand, one hundred".