21620610433100 has 144 divisors (see below), whose sum is σ = 56447303808000. Its totient is φ = 7021871493120.

The previous prime is 21620610433073. The next prime is 21620610433109. The reversal of 21620610433100 is 133401602612.

It is a super-2 number, since 2×21620610433100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21620610433109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129498476 + ... + 129665324.

Almost surely, 2^{21620610433100} is an apocalyptic number.

21620610433100 is a gapful number since it is divisible by the number (20) 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 21620610433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28223651904000).

21620610433100 is an abundant number, since it is smaller than the sum of its proper divisors (34826693374900).

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

21620610433100 is a wasteful number, since it uses less digits than its factorization.

21620610433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176632 (or 176625 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 21620610433100 in words is "twenty-one trillion, six hundred twenty billion, six hundred ten million, four hundred thirty-three thousand, one hundred".