78193982328000 has 896 divisors, whose sum is σ = 322449334272000. Its totient is φ = 16220745216000.

The previous prime is 78193982327999. The next prime is 78193982328017. The reversal of 78193982328000 is 82328939187.

It is a super-2 number, since 2×78193982328000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1106916681 + ... + 1106987319.

Almost surely, 2^{78193982328000} is an apocalyptic number.

78193982328000 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 78193982328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161224667136000).

78193982328000 is an abundant number, since it is smaller than the sum of its proper divisors (244255351944000).

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

78193982328000 is a wasteful number, since it uses less digits than its factorization.

78193982328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71286 (or 71266 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 78193982328000 in words is "seventy-eight trillion, one hundred ninety-three billion, nine hundred eighty-two million, three hundred twenty-eight thousand".