211098961920 has 1728 divisors, whose sum is σ = 923875243200. Its totient is φ = 40874803200.

The previous prime is 211098961919. The next prime is 211098961973. The reversal of 211098961920 is 29169890112.

It is a super-2 number, since 2×211098961920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 211098961920.

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 143 ways as a sum of consecutive naturals, for example, 3460638690 + ... + 3460638750.

It is an arithmetic number, because the mean of its divisors is an integer number (534650025).

Almost surely, 2^211098961920 is an apocalyptic number.

211098961920 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 211098961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461937621600).

211098961920 is an abundant number, since it is smaller than the sum of its proper divisors (712776281280).

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

211098961920 is a wasteful number, since it uses less digits than its factorization.

211098961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 48.

The spelling of 211098961920 in words is "two hundred eleven billion, ninety-eight million, nine hundred sixty-one thousand, nine hundred twenty".