1979710387200 has 3168 divisors, whose sum is σ = 9313253913600. Its totient is φ = 398838988800.

The previous prime is 1979710387177. The next prime is 1979710387231. The reversal of 1979710387200 is 27830179791.

1979710387200 is a `hidden beast` number, since 197 + 9 + 71 + 0 + 387 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42121497577 + ... + 42121497623.

Almost surely, 2^{1979710387200} is an apocalyptic number.

1979710387200 is a gapful number since it is divisible by the number (10) 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 1979710387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656626956800).

1979710387200 is an abundant number, since it is smaller than the sum of its proper divisors (7333543526400).

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

1979710387200 is a wasteful number, since it uses less digits than its factorization.

1979710387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 1979710387200 in words is "one trillion, nine hundred seventy-nine billion, seven hundred ten million, three hundred eighty-seven thousand, two hundred".