78549582396096 has 336 divisors, whose sum is σ = 267297109637376. Its totient is φ = 22404486657024.

The previous prime is 78549582396091. The next prime is 78549582396101. The reversal of 78549582396096 is 69069328594587.

78549582396096 is a `hidden beast` number, since 7 + 8 + 5 + 495 + 8 + 2 + 39 + 6 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (78549582396091) and next prime (78549582396101).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (78549582396091) 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, 63288570 + ... + 64517766.

It is an arithmetic number, because the mean of its divisors is an integer number (795527112016).

Almost surely, 2^{78549582396096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78549582396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133648554818688).

78549582396096 is an abundant number, since it is smaller than the sum of its proper divisors (188747527241280).

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

78549582396096 is a wasteful number, since it uses less digits than its factorization.

78549582396096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229818 (or 1229796 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 81.

The spelling of 78549582396096 in words is "seventy-eight trillion, five hundred forty-nine billion, five hundred eighty-two million, three hundred ninety-six thousand, ninety-six".