78599495093760 has 720 divisors, whose sum is σ = 283308562528992. Its totient is φ = 20912338944000.

The previous prime is 78599495093747. The next prime is 78599495093767. The reversal of 78599495093760 is 6739059499587.

78599495093760 is a `hidden beast` number, since 7 + 8 + 5 + 9 + 9 + 49 + 509 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×78599495093760² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78599495093760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78599495093767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7743024685 + ... + 7743034835.

Almost surely, 2^{78599495093760} 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 78599495093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141654281264496).

78599495093760 is an abundant number, since it is smaller than the sum of its proper divisors (204709067435232).

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

78599495093760 is an frugal number, since it uses more digits than its factorization.

78599495093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10659 (or 10622 counting only the distinct ones).

The product of its (nonzero) digits is 4629441600, while the sum is 81.

The spelling of 78599495093760 in words is "seventy-eight trillion, five hundred ninety-nine billion, four hundred ninety-five million, ninety-three thousand, seven hundred sixty".