1979960892416 has 176 divisors, whose sum is σ = 4474521644544. Its totient is φ = 868839899136.

The previous prime is 1979960892409. The next prime is 1979960892419. The reversal of 1979960892416 is 6142980699791.

It is a self number, because there is not a number n which added to its sum of digits gives 1979960892416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1979960892419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51112031 + ... + 51150753.

Almost surely, 2^{1979960892416} is an apocalyptic number.

1979960892416 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 1979960892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237260822272).

1979960892416 is an abundant number, since it is smaller than the sum of its proper divisors (2494560752128).

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

1979960892416 is a wasteful number, since it uses less digits than its factorization.

1979960892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38946 (or 38928 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 71.

The spelling of 1979960892416 in words is "one trillion, nine hundred seventy-nine billion, nine hundred sixty million, eight hundred ninety-two thousand, four hundred sixteen".