211252478976 has 1320 divisors, whose sum is σ = 826458203648. Its totient is φ = 52553318400.

The previous prime is 211252478971. The next prime is 211252478999. The reversal of 211252478976 is 679874252112.

211252478976 is a `hidden beast` number, since 2 + 112 + 52 + 478 + 9 + 7 + 6 = 666.

211252478976 is digitally balanced in base 3, 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 (54).

Its product of digits (3386880) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211252478971) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2177860560 + ... + 2177860656.

Almost surely, 2^211252478976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211252478976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413229101824).

211252478976 is an abundant number, since it is smaller than the sum of its proper divisors (615205724672).

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

211252478976 is a wasteful number, since it uses less digits than its factorization.

211252478976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 151 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 211252478976 in words is "two hundred eleven billion, two hundred fifty-two million, four hundred seventy-eight thousand, nine hundred seventy-six".