53330231973600 has 1728 divisors, whose sum is σ = 207901900926720. Its totient is φ = 13302558720000.

The previous prime is 53330231973503. The next prime is 53330231973607. The reversal of 53330231973600 is 637913203335.

53330231973600 is a `hidden beast` number, since 5 + 3 + 3 + 3 + 0 + 2 + 31 + 9 + 7 + 3 + 600 = 666.

It is a super-2 number, since 2×53330231973600² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53330231973607) 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 287 ways as a sum of consecutive naturals, for example, 161118525435 + ... + 161118525765.

Almost surely, 2^{53330231973600} is an apocalyptic number.

53330231973600 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 53330231973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103950950463360).

53330231973600 is an abundant number, since it is smaller than the sum of its proper divisors (154571668953120).

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

53330231973600 is a wasteful number, since it uses less digits than its factorization.

53330231973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 45.

It can be divided in two parts, 53330231 and 973600, that added together give a triangular number (54303831 = T₁₀₄₂₁).

The spelling of 53330231973600 in words is "fifty-three trillion, three hundred thirty billion, two hundred thirty-one million, nine hundred seventy-three thousand, six hundred".