21211397294976 has 384 divisors, whose sum is σ = 72525757973760. Its totient is φ = 5824330997760.

The previous prime is 21211397294963. The next prime is 21211397294981. The reversal of 21211397294976 is 67949279311212.

21211397294976 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 139 + 7 + 2 + 9 + 497 + 6 = 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 (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21673035 + ... + 22630581.

It is an arithmetic number, because the mean of its divisors is an integer number (188869161390).

Almost surely, 2^{21211397294976} 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 21211397294976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36262878986880).

21211397294976 is an abundant number, since it is smaller than the sum of its proper divisors (51314360678784).

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

21211397294976 is a wasteful number, since it uses less digits than its factorization.

21211397294976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957682 (or 957667 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 21211397294976 in words is "twenty-one trillion, two hundred eleven billion, three hundred ninety-seven million, two hundred ninety-four thousand, nine hundred seventy-six".