78155639059680 has 864 divisors, whose sum is σ = 337080116265984. Its totient is φ = 16139113795584.

The previous prime is 78155639059679. The next prime is 78155639059703. The reversal of 78155639059680 is 8695093655187.

It is a happy number.

78155639059680 is a `hidden beast` number, since 7 + 8 + 1 + 5 + 563 + 9 + 0 + 59 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×78155639059680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78155639059599 and 78155639059608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79577367 + ... + 80553513.

It is an arithmetic number, because the mean of its divisors is an integer number (390139023456).

Almost surely, 2^{78155639059680} is an apocalyptic number.

78155639059680 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 78155639059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168540058132992).

78155639059680 is an abundant number, since it is smaller than the sum of its proper divisors (258924477206304).

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

78155639059680 is a wasteful number, since it uses less digits than its factorization.

78155639059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976248 (or 976224 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 78155639059680 in words is "seventy-eight trillion, one hundred fifty-five billion, six hundred thirty-nine million, fifty-nine thousand, six hundred eighty".