1972979721216 has 1056 divisors, whose sum is σ = 7095812505600. Its totient is φ = 535685529600.

The previous prime is 1972979721199. The next prime is 1972979721257. The reversal of 1972979721216 is 6121279792791.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3293788885 + ... + 3293789483.

Almost surely, 2^{1972979721216} is an apocalyptic number.

1972979721216 is a gapful number since it is divisible by the number (16) 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 1972979721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547906252800).

1972979721216 is an abundant number, since it is smaller than the sum of its proper divisors (5122832784384).

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

1972979721216 is an equidigital number, since it uses as much as digits as its factorization.

1972979721216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 703 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 63.

The spelling of 1972979721216 in words is "one trillion, nine hundred seventy-two billion, nine hundred seventy-nine million, seven hundred twenty-one thousand, two hundred sixteen".