211604964480 has 384 divisors, whose sum is σ = 899323326720. Its totient is φ = 44646211584.

The previous prime is 211604964479. The next prime is 211604964491. The reversal of 211604964480 is 84469406112.

211604964480 is a `hidden beast` number, since 2 + 1 + 160 + 4 + 9 + 6 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322309 + ... + 726011.

It is an arithmetic number, because the mean of its divisors is an integer number (2341987830).

Almost surely, 2^211604964480 is an apocalyptic number.

211604964480 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 211604964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449661663360).

211604964480 is an abundant number, since it is smaller than the sum of its proper divisors (687718362240).

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

211604964480 is a wasteful number, since it uses less digits than its factorization.

211604964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403748 (or 403733 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 211604964480 in words is "two hundred eleven billion, six hundred four million, nine hundred sixty-four thousand, four hundred eighty".