20333876676100 has 81 divisors (see below), whose sum is σ = 47781174932127. Its totient is φ = 7507676479680.

The previous prime is 20333876676031. The next prime is 20333876676131. The reversal of 20333876676100 is 167667833302.

It is a happy number.

The square root of 20333876676100 is 4509310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5241086792964 + 15092789883136 = 2289342^2 + 3884944^2 .

It is a super-2 number, since 2×20333876676100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 586192957 + ... + 586227643.

Almost surely, 2^{20333876676100} is an apocalyptic number.

20333876676100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20333876676100 is the 4509310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20333876676100

20333876676100 is an abundant number, since it is smaller than the sum of its proper divisors (27447298256027).

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

20333876676100 is an frugal number, since it uses more digits than its factorization.

20333876676100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69414 (or 34707 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 52.

The spelling of 20333876676100 in words is "twenty trillion, three hundred thirty-three billion, eight hundred seventy-six million, six hundred seventy-six thousand, one hundred".