78055149744 has 640 divisors, whose sum is σ = 280832025600. Its totient is φ = 20659276800.

The previous prime is 78055149691. The next prime is 78055149761. The reversal of 78055149744 is 44794155087.

78055149744 is a `hidden beast` number, since 7 + 8 + 0 + 551 + 49 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95072854 + ... + 95073674.

It is an arithmetic number, because the mean of its divisors is an integer number (438800040).

Almost surely, 2^78055149744 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 78055149744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140416012800).

78055149744 is an abundant number, since it is smaller than the sum of its proper divisors (202776875856).

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

78055149744 is a wasteful number, since it uses less digits than its factorization.

78055149744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 78055149744 in words is "seventy-eight billion, fifty-five million, one hundred forty-nine thousand, seven hundred forty-four".