21350776216000 has 1344 divisors, whose sum is σ = 70262062940160. Its totient is φ = 6273552384000.

The previous prime is 21350776215949. The next prime is 21350776216013. The reversal of 21350776216000 is 61267705312.

It is a super-2 number, since 2×21350776216000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49308951784 + ... + 49308952216.

It is an arithmetic number, because the mean of its divisors is an integer number (52278320640).

Almost surely, 2^{21350776216000} is an apocalyptic number.

21350776216000 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 21350776216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35131031470080).

21350776216000 is an abundant number, since it is smaller than the sum of its proper divisors (48911286724160).

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

21350776216000 is a wasteful number, since it uses less digits than its factorization.

21350776216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 21350776216000 in words is "twenty-one trillion, three hundred fifty billion, seven hundred seventy-six million, two hundred sixteen thousand".