53349294600 has 768 divisors, whose sum is σ = 226174809600. Its totient is φ = 11280384000.

The previous prime is 53349294589. The next prime is 53349294601. The reversal of 53349294600 is 649294335.

53349294600 is a `hidden beast` number, since 5 + 3 + 34 + 9 + 2 + 9 + 4 + 600 = 666.

It is a super-2 number, since 2×53349294600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53349294601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39197920 + ... + 39199280.

It is an arithmetic number, because the mean of its divisors is an integer number (294498450).

Almost surely, 2^53349294600 is an apocalyptic number.

53349294600 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 53349294600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113087404800).

53349294600 is an abundant number, since it is smaller than the sum of its proper divisors (172825515000).

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

53349294600 is a wasteful number, since it uses less digits than its factorization.

53349294600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 53349294600 in words is "fifty-three billion, three hundred forty-nine million, two hundred ninety-four thousand, six hundred".