78009096501648 has 720 divisors, whose sum is σ = 247201361671680. Its totient is φ = 22931287142400.

The previous prime is 78009096501601. The next prime is 78009096501691. The reversal of 78009096501648 is 84610569090087.

78009096501648 is a `hidden beast` number, since 7 + 80 + 0 + 9 + 0 + 9 + 6 + 501 + 6 + 48 = 666.

78009096501648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50037905893 + ... + 50037907451.

It is an arithmetic number, because the mean of its divisors is an integer number (343335224544).

Almost surely, 2^{78009096501648} is an apocalyptic number.

78009096501648 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 78009096501648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123600680835840).

78009096501648 is an abundant number, since it is smaller than the sum of its proper divisors (169192265170032).

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

78009096501648 is a wasteful number, since it uses less digits than its factorization.

78009096501648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 78009096501648 in words is "seventy-eight trillion, nine billion, ninety-six million, five hundred one thousand, six hundred forty-eight".