53384958900 has 576 divisors, whose sum is σ = 223670684160. Its totient is φ = 10600243200.

The previous prime is 53384958871. The next prime is 53384958923. The reversal of 53384958900 is 985948335.

53384958900 is a `hidden beast` number, since 53 + 3 + 8 + 4 + 9 + 589 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4170510 + ... + 4183290.

It is an arithmetic number, because the mean of its divisors is an integer number (388317160).

Almost surely, 2^53384958900 is an apocalyptic number.

53384958900 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 53384958900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111835342080).

53384958900 is an abundant number, since it is smaller than the sum of its proper divisors (170285725260).

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

53384958900 is a wasteful number, since it uses less digits than its factorization.

53384958900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12841 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 53384958900 in words is "fifty-three billion, three hundred eighty-four million, nine hundred fifty-eight thousand, nine hundred".