1978926888960 has 2880 divisors, whose sum is σ = 9028790971200. Its totient is φ = 412018016256.

The previous prime is 1978926888947. The next prime is 1978926888979. The reversal of 1978926888960 is 698886298791.

1978926888960 is a `hidden beast` number, since 197 + 8 + 9 + 268 + 88 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×1978926888960³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 1978926888960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27108587484 + ... + 27108587556.

It is an arithmetic number, because the mean of its divisors is an integer number (3134996865).

Almost surely, 2^{1978926888960} is an apocalyptic number.

1978926888960 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 1978926888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514395485600).

1978926888960 is an abundant number, since it is smaller than the sum of its proper divisors (7049864082240).

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

1978926888960 is a wasteful number, since it uses less digits than its factorization.

1978926888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 81.

The spelling of 1978926888960 in words is "one trillion, nine hundred seventy-eight billion, nine hundred twenty-six million, eight hundred eighty-eight thousand, nine hundred sixty".