78743589552 has 360 divisors, whose sum is σ = 245525809152. Its totient is φ = 23524300800.

The previous prime is 78743589527. The next prime is 78743589553. The reversal of 78743589552 is 25598534787.

78743589552 is a `hidden beast` number, since 7 + 8 + 7 + 43 + 589 + 5 + 5 + 2 = 666.

It is a super-3 number, since 3×78743589552³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78743589552.

It is not an unprimeable number, because it can be changed into a prime (78743589553) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 86435977 + ... + 86436887.

Almost surely, 2^78743589552 is an apocalyptic number.

78743589552 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 78743589552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122762904576).

78743589552 is an abundant number, since it is smaller than the sum of its proper divisors (166782219600).

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

78743589552 is a wasteful number, since it uses less digits than its factorization.

78743589552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1031 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 78743589552 in words is "seventy-eight billion, seven hundred forty-three million, five hundred eighty-nine thousand, five hundred fifty-two".