78168151152 has 720 divisors, whose sum is σ = 287302736448. Its totient is φ = 19307151360.

The previous prime is 78168151151. The next prime is 78168151189. The reversal of 78168151152 is 25115186187.

78168151152 is a `hidden beast` number, since 7 + 8 + 1 + 6 + 81 + 511 + 52 = 666.

It is a super-2 number, since 2×78168151152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78168151098 and 78168151107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78168151151) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 451838938 + ... + 451839110.

Almost surely, 2^78168151152 is an apocalyptic number.

78168151152 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 78168151152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143651368224).

78168151152 is an abundant number, since it is smaller than the sum of its proper divisors (209134585296).

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

78168151152 is a wasteful number, since it uses less digits than its factorization.

78168151152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 268 counting only the distinct ones).

The product of its digits is 134400, while the sum is 45.

The spelling of 78168151152 in words is "seventy-eight billion, one hundred sixty-eight million, one hundred fifty-one thousand, one hundred fifty-two".