78366185856 has 384 divisors, whose sum is σ = 278905536000. Its totient is φ = 21415477248.

The previous prime is 78366185839. The next prime is 78366185873. The reversal of 78366185856 is 65858166387.

It is a happy number.

78366185856 is a `hidden beast` number, since 7 + 8 + 3 + 6 + 618 + 5 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (78366185839) and next prime (78366185873).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×78366185856² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 78366185793 and 78366185802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999920 + ... + 5015568.

It is an arithmetic number, because the mean of its divisors is an integer number (726316500).

Almost surely, 2^78366185856 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 78366185856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139452768000).

78366185856 is an abundant number, since it is smaller than the sum of its proper divisors (200539350144).

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

78366185856 is a wasteful number, since it uses less digits than its factorization.

78366185856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15708 (or 15684 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 78366185856 in words is "seventy-eight billion, three hundred sixty-six million, one hundred eighty-five thousand, eight hundred fifty-six".