53403794684100 has 2187 divisors, whose sum is σ = 218689625238357. Its totient is φ = 10865572945920.

The previous prime is 53403794684087. The next prime is 53403794684203. The reversal of 53403794684100 is 148649730435.

The square root of 53403794684100 is 7307790.

It is a perfect power (a square), and thus also a powerful number.

53403794684100 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 3 + 79 + 468 + 4 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 36021099090564 + 17382695593536 = 6001758^2 + 4169256^2 .

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 728 ways as a sum of consecutive naturals, for example, 600042636856 + ... + 600042636944.

Almost surely, 2^{53403794684100} is an apocalyptic number.

53403794684100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53403794684100 is the 7307790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53403794684100

53403794684100 is an abundant number, since it is smaller than the sum of its proper divisors (165285830554257).

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

53403794684100 is a wasteful number, since it uses less digits than its factorization.

53403794684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 53403794684100 in words is "fifty-three trillion, four hundred three billion, seven hundred ninety-four million, six hundred eighty-four thousand, one hundred".