21970390690320 has 640 divisors, whose sum is σ = 76697925304320. Its totient is φ = 5173576826880.

The previous prime is 21970390690291. The next prime is 21970390690321. The reversal of 21970390690320 is 2309609307912.

It is a super-2 number, since 2×21970390690320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (21970390690321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1502652610 + ... + 1502667230.

It is an arithmetic number, because the mean of its divisors is an integer number (119840508288).

Almost surely, 2^{21970390690320} is an apocalyptic number.

21970390690320 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 21970390690320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38348962652160).

21970390690320 is an abundant number, since it is smaller than the sum of its proper divisors (54727534614000).

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

21970390690320 is a wasteful number, since it uses less digits than its factorization.

21970390690320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14983 (or 14977 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 51.

The spelling of 21970390690320 in words is "twenty-one trillion, nine hundred seventy billion, three hundred ninety million, six hundred ninety thousand, three hundred twenty".