21970010219976 has 768 divisors, whose sum is σ = 77479268106240. Its totient is φ = 5468090664960.

The previous prime is 21970010219959. The next prime is 21970010220013. The reversal of 21970010219976 is 67991201007912.

21970010219976 is a `hidden beast` number, since 219 + 70 + 0 + 102 + 199 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6611497051 + ... + 6611500373.

It is an arithmetic number, because the mean of its divisors is an integer number (100884463680).

Almost surely, 2^{21970010219976} is an apocalyptic number.

21970010219976 is a gapful number since it is divisible by the number (26) 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 21970010219976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38739634053120).

21970010219976 is an abundant number, since it is smaller than the sum of its proper divisors (55509257886264).

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

21970010219976 is a wasteful number, since it uses less digits than its factorization.

21970010219976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 21970010219976 in words is "twenty-one trillion, nine hundred seventy billion, ten million, two hundred nineteen thousand, nine hundred seventy-six".