211547970480 has 960 divisors, whose sum is σ = 872337309696. Its totient is φ = 41884416000.

The previous prime is 211547970457. The next prime is 211547970493. The reversal of 211547970480 is 84079745112.

211547970480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 191 ways as a sum of consecutive naturals, for example, 284720989 + ... + 284721731.

Almost surely, 2^211547970480 is an apocalyptic number.

211547970480 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 211547970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436168654848).

211547970480 is an abundant number, since it is smaller than the sum of its proper divisors (660789339216).

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

211547970480 is a wasteful number, since it uses less digits than its factorization.

211547970480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 211547970480 in words is "two hundred eleven billion, five hundred forty-seven million, nine hundred seventy thousand, four hundred eighty".