78138293760000 has 1560 divisors, whose sum is σ = 302538593347760. Its totient is φ = 19921600512000.

The previous prime is 78138293759927. The next prime is 78138293760019. The reversal of 78138293760000 is 6739283187.

78138293760000 is a `hidden beast` number, since 7 + 8 + 1 + 3 + 8 + 29 + 3 + 7 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×78138293760000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 36564478932 + ... + 36564481068.

Almost surely, 2^{78138293760000} 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 78138293760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151269296673880).

78138293760000 is an abundant number, since it is smaller than the sum of its proper divisors (224400299587760).

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

78138293760000 is an equidigital number, since it uses as much as digits as its factorization.

78138293760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 78138293760000 in words is "seventy-eight trillion, one hundred thirty-eight billion, two hundred ninety-three million, seven hundred sixty thousand".