211428632970 has 256 divisors, whose sum is σ = 616855772160. Its totient is φ = 51325747200.

The previous prime is 211428632963. The next prime is 211428633001. The reversal of 211428632970 is 79236824112.

211428632970 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 2 + 8 + 632 + 9 + 7 + 0 = 666.

211428632970 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17266050 + ... + 17278290.

It is an arithmetic number, because the mean of its divisors is an integer number (2409592860).

Almost surely, 2^211428632970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211428632970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308427886080).

211428632970 is an abundant number, since it is smaller than the sum of its proper divisors (405427139190).

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

211428632970 is a wasteful number, since it uses less digits than its factorization.

211428632970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12398 (or 12392 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 211428632970 in words is "two hundred eleven billion, four hundred twenty-eight million, six hundred thirty-two thousand, nine hundred seventy".