78546413088 has 288 divisors, whose sum is σ = 262802921472. Its totient is φ = 21938688000.

The previous prime is 78546413081. The next prime is 78546413123. The reversal of 78546413088 is 88031464587.

78546413088 is a `hidden beast` number, since 7 + 8 + 546 + 4 + 13 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (78546413081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47401956 + ... + 47403612.

It is an arithmetic number, because the mean of its divisors is an integer number (912510144).

Almost surely, 2^78546413088 is an apocalyptic number.

78546413088 is a gapful number since it is divisible by the number (78) 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 78546413088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131401460736).

78546413088 is an abundant number, since it is smaller than the sum of its proper divisors (184256508384).

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

78546413088 is a wasteful number, since it uses less digits than its factorization.

78546413088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 78546413088 in words is "seventy-eight billion, five hundred forty-six million, four hundred thirteen thousand, eighty-eight".