78519652992 has 576 divisors, whose sum is σ = 266258254080. Its totient is φ = 22992076800.

The previous prime is 78519652987. The next prime is 78519652997. The reversal of 78519652992 is 29925691587.

78519652992 is a `hidden beast` number, since 7 + 8 + 5 + 19 + 6 + 529 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (78519652987) and next prime (78519652997).

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (24494400) is a multiple of the sum of its prime divisors (720).

It is not an unprimeable number, because it can be changed into a prime (78519652997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116670768 + ... + 116671440.

Almost surely, 2^78519652992 is an apocalyptic number.

78519652992 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 78519652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133129127040).

78519652992 is an abundant number, since it is smaller than the sum of its proper divisors (187738601088).

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

78519652992 is a wasteful number, since it uses less digits than its factorization.

78519652992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 720 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The spelling of 78519652992 in words is "seventy-eight billion, five hundred nineteen million, six hundred fifty-two thousand, nine hundred ninety-two".