78838570675200 has 2112 divisors, whose sum is σ = 324504761794560. Its totient is φ = 16486170624000.

The previous prime is 78838570675187. The next prime is 78838570675273. The reversal of 78838570675200 is 257607583887.

It is a super-2 number, since 2×78838570675200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34114482045 + ... + 34114484355.

Almost surely, 2^{78838570675200} is an apocalyptic number.

78838570675200 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 78838570675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162252380897280).

78838570675200 is an abundant number, since it is smaller than the sum of its proper divisors (245666191119360).

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

78838570675200 is a wasteful number, since it uses less digits than its factorization.

78838570675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 66.

The spelling of 78838570675200 in words is "seventy-eight trillion, eight hundred thirty-eight billion, five hundred seventy million, six hundred seventy-five thousand, two hundred".