78311862720000 has 8400 divisors, whose sum is σ = 401395227311232. Its totient is φ = 15049359360000.

The previous prime is 78311862719989. The next prime is 78311862720037. The reversal of 78311862720000 is 2726811387.

78311862720000 is a `hidden beast` number, since 7 + 8 + 3 + 1 + 18 + 627 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8400).

It is a super-2 number, since 2×78311862720000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 839 ways as a sum of consecutive naturals, for example, 2526189119985 + ... + 2526189120015.

Almost surely, 2^{78311862720000} is an apocalyptic number.

78311862720000 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 78311862720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200697613655616).

78311862720000 is an abundant number, since it is smaller than the sum of its proper divisors (323083364591232).

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

78311862720000 is an equidigital number, since it uses as much as digits as its factorization.

78311862720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 78311862720000 in words is "seventy-eight trillion, three hundred eleven billion, eight hundred sixty-two million, seven hundred twenty thousand".