19778840040960 has 3840 divisors, whose sum is σ = 99097805334528. Its totient is φ = 3507801292800.

The previous prime is 19778840040959. The next prime is 19778840040991. The reversal of 19778840040960 is 6904004887791.

19778840040960 is a `hidden beast` number, since 1 + 97 + 7 + 8 + 84 + 0 + 0 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23916372067 + ... + 23916372893.

Almost surely, 2^{19778840040960} is an apocalyptic number.

19778840040960 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 19778840040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49548902667264).

19778840040960 is an abundant number, since it is smaller than the sum of its proper divisors (79318965293568).

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

19778840040960 is a wasteful number, since it uses less digits than its factorization.

19778840040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 19778840040960 in words is "nineteen trillion, seven hundred seventy-eight billion, eight hundred forty million, forty thousand, nine hundred sixty".