78361920129024 has 1296 divisors, whose sum is σ = 289509357222540. Its totient is φ = 21069103104000.

The previous prime is 78361920129019. The next prime is 78361920129071. The reversal of 78361920129024 is 42092102916387.

78361920129024 is a `hidden beast` number, since 7 + 8 + 3 + 619 + 2 + 0 + 12 + 9 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77437184025600 + 924736103424 = 8799840^2 + 961632^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×78361920129024² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11192957524 + ... + 11192964524.

Almost surely, 2^{78361920129024} 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 78361920129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144754678611270).

78361920129024 is an abundant number, since it is smaller than the sum of its proper divisors (211147437093516).

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

78361920129024 is an frugal number, since it uses more digits than its factorization.

78361920129024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 78361920129024 in words is "seventy-eight trillion, three hundred sixty-one billion, nine hundred twenty million, one hundred twenty-nine thousand, twenty-four".