211561557152 has 48 divisors (see below), whose sum is σ = 454461259392. Its totient is φ = 96146411520.

The previous prime is 211561557101. The next prime is 211561557167. The reversal of 211561557152 is 251755165112.

It is a super-2 number, since 2×211561557152² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1934528 + ... + 2040960.

It is an arithmetic number, because the mean of its divisors is an integer number (9467942904).

Almost surely, 2^211561557152 is an apocalyptic number.

211561557152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211561557152 is an abundant number, since it is smaller than the sum of its proper divisors (242899702240).

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

211561557152 is a wasteful number, since it uses less digits than its factorization.

211561557152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112101 (or 112093 counting only the distinct ones).

The product of its digits is 105000, while the sum is 41.

The spelling of 211561557152 in words is "two hundred eleven billion, five hundred sixty-one million, five hundred fifty-seven thousand, one hundred fifty-two".