78754333828032 has 560 divisors, whose sum is σ = 249589073226240. Its totient is φ = 24498317555712.

The previous prime is 78754333828007. The next prime is 78754333828067. The reversal of 78754333828032 is 23082833345787.

78754333828032 is a `hidden beast` number, since 7 + 8 + 7 + 543 + 3 + 3 + 8 + 2 + 80 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1131119173 + ... + 1131188795.

Almost surely, 2^{78754333828032} is an apocalyptic number.

78754333828032 is a gapful number since it is divisible by the number (72) 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 78754333828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124794536613120).

78754333828032 is an abundant number, since it is smaller than the sum of its proper divisors (170834739398208).

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

78754333828032 is a wasteful number, since it uses less digits than its factorization.

78754333828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69902 (or 69883 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 78754333828032 in words is "seventy-eight trillion, seven hundred fifty-four billion, three hundred thirty-three million, eight hundred twenty-eight thousand, thirty-two".