53562010500 has 288 divisors, whose sum is σ = 183284101728. Its totient is φ = 13114368000.

The previous prime is 53562010487. The next prime is 53562010577. The reversal of 53562010500 is 501026535.

53562010500 is a `hidden beast` number, since 5 + 35 + 620 + 1 + 0 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 45248947524 + 8313062976 = 212718^2 + 91176^2 .

It is a super-2 number, since 2×53562010500² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3127962 + ... + 3145038.

It is an arithmetic number, because the mean of its divisors is an integer number (636403131).

Almost surely, 2^53562010500 is an apocalyptic number.

53562010500 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 53562010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91642050864).

53562010500 is an abundant number, since it is smaller than the sum of its proper divisors (129722091228).

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

53562010500 is a wasteful number, since it uses less digits than its factorization.

53562010500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160 (or 17145 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 53562010500 in words is "fifty-three billion, five hundred sixty-two million, ten thousand, five hundred".