78156135953280 has 2304 divisors, whose sum is σ = 352427716143360. Its totient is φ = 15775630295040.

The previous prime is 78156135953267. The next prime is 78156135953309. The reversal of 78156135953280 is 8235953165187.

78156135953280 is a `hidden beast` number, since 7 + 8 + 1 + 5 + 6 + 1 + 3 + 595 + 32 + 8 + 0 = 666.

It is a super-2 number, since 2×78156135953280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 15184791667 + ... + 15184796813.

It is an arithmetic number, because the mean of its divisors is an integer number (152963418465).

Almost surely, 2^{78156135953280} is an apocalyptic number.

78156135953280 is a gapful number since it is divisible by the number (70) 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 78156135953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176213858071680).

78156135953280 is an abundant number, since it is smaller than the sum of its proper divisors (274271580190080).

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

78156135953280 is a wasteful number, since it uses less digits than its factorization.

78156135953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 78156135953280 in words is "seventy-eight trillion, one hundred fifty-six billion, one hundred thirty-five million, nine hundred fifty-three thousand, two hundred eighty".