77386573135872 has 720 divisors, whose sum is σ = 300157514022912. Its totient is φ = 18554187939840.

The previous prime is 77386573135853. The next prime is 77386573135903. The reversal of 77386573135872 is 27853137568377.

77386573135872 is a `hidden beast` number, since 7 + 7 + 3 + 8 + 6 + 5 + 7 + 31 + 3 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 77386573135872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147341313 + ... + 147865599.

Almost surely, 2^{77386573135872} is an apocalyptic number.

77386573135872 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 77386573135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150078757011456).

77386573135872 is an abundant number, since it is smaller than the sum of its proper divisors (222770940887040).

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

77386573135872 is a wasteful number, since it uses less digits than its factorization.

77386573135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524352 (or 524323 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 72.

The spelling of 77386573135872 in words is "seventy-seven trillion, three hundred eighty-six billion, five hundred seventy-three million, one hundred thirty-five thousand, eight hundred seventy-two".