211351553403020 has 96 divisors (see below), whose sum is σ = 474183528403200. Its totient is φ = 78893686865664.

The previous prime is 211351553402867. The next prime is 211351553403043. The reversal of 211351553403020 is 20304355153112.

It is a happy number.

It is a super-2 number, since 2×211351553403020² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1290307286 + ... + 1290471074.

It is an arithmetic number, because the mean of its divisors is an integer number (4939411754200).

Almost surely, 2^{211351553403020} is an apocalyptic number.

211351553403020 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 211351553403020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237091764201600).

211351553403020 is an abundant number, since it is smaller than the sum of its proper divisors (262831975000180).

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

211351553403020 is a wasteful number, since it uses less digits than its factorization.

211351553403020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214567 (or 214565 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 211351553403020 in words is "two hundred eleven trillion, three hundred fifty-one billion, five hundred fifty-three million, four hundred three thousand, twenty".