78169424382000 has 1920 divisors, whose sum is σ = 330948417945600. Its totient is φ = 17463931776000.

The previous prime is 78169424381933. The next prime is 78169424382017. The reversal of 78169424382000 is 28342496187.

78169424382000 is a `hidden beast` number, since 7 + 8 + 1 + 6 + 9 + 424 + 3 + 8 + 200 + 0 = 666.

It is a super-2 number, since 2×78169424382000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38337136981 + ... + 38337139019.

It is an arithmetic number, because the mean of its divisors is an integer number (172368967680).

Almost surely, 2^{78169424382000} is an apocalyptic number.

78169424382000 is a gapful number since it is divisible by the number (70) 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 78169424382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165474208972800).

78169424382000 is an abundant number, since it is smaller than the sum of its proper divisors (252778993563600).

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

78169424382000 is a wasteful number, since it uses less digits than its factorization.

78169424382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 78169424382000 in words is "seventy-eight trillion, one hundred sixty-nine billion, four hundred twenty-four million, three hundred eighty-two thousand".