19778142720 has 960 divisors, whose sum is σ = 82007608320. Its totient is φ = 3970695168.

The previous prime is 19778142691. The next prime is 19778142733. The reversal of 19778142720 is 2724187791.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19778142720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295196127 + ... + 295196193.

It is an arithmetic number, because the mean of its divisors is an integer number (85424592).

Almost surely, 2^19778142720 is an apocalyptic number.

19778142720 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 19778142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41003804160).

19778142720 is an abundant number, since it is smaller than the sum of its proper divisors (62229465600).

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

19778142720 is a wasteful number, since it uses less digits than its factorization.

19778142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 19778142720 in words is "nineteen billion, seven hundred seventy-eight million, one hundred forty-two thousand, seven hundred twenty".