78538981248000 has 6336 divisors, whose sum is σ = 384809059514880. Its totient is φ = 15216574464000.

The previous prime is 78538981247971. The next prime is 78538981248037. The reversal of 78538981248000 is 84218983587.

78538981248000 is a `hidden beast` number, since 7 + 8 + 5 + 389 + 8 + 1 + 248 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 599534207935 + ... + 599534208065.

It is an arithmetic number, because the mean of its divisors is an integer number (60733753080).

Almost surely, 2^{78538981248000} is an apocalyptic number.

78538981248000 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 78538981248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192404529757440).

78538981248000 is an abundant number, since it is smaller than the sum of its proper divisors (306270078266880).

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

78538981248000 is a wasteful number, since it uses less digits than its factorization.

78538981248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 78538981248000 in words is "seventy-eight trillion, five hundred thirty-eight billion, nine hundred eighty-one million, two hundred forty-eight thousand".