5355764100 has 108 divisors (see below), whose sum is σ = 16801198960. Its totient is φ = 1427025600.

The previous prime is 5355764083. The next prime is 5355764101. The reversal of 5355764100 is 14675535.

5355764100 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 7 + 641 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5355764101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1959735 + ... + 1962465.

Almost surely, 2^5355764100 is an apocalyptic number.

5355764100 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 5355764100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400599480).

5355764100 is an abundant number, since it is smaller than the sum of its proper divisors (11445434860).

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

5355764100 is a wasteful number, since it uses less digits than its factorization.

5355764100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5355764100 is about 73183.0861606697. The cubic root of 5355764100 is about 1749.6068885707.

The spelling of 5355764100 in words is "five billion, three hundred fifty-five million, seven hundred sixty-four thousand, one hundred".