2078680848000 has 512 divisors, whose sum is σ = 7331355982080. Its totient is φ = 519192576000.

The previous prime is 2078680847989. The next prime is 2078680848029. The reversal of 2078680848000 is 8480868702.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 172169964 + ... + 172182036.

Almost surely, 2^{2078680848000} is an apocalyptic number.

2078680848000 is a gapful number since it is divisible by the number (20) 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 2078680848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665677991040).

2078680848000 is an abundant number, since it is smaller than the sum of its proper divisors (5252675134080).

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

2078680848000 is a wasteful number, since it uses less digits than its factorization.

2078680848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 2078680848000 in words is "two trillion, seventy-eight billion, six hundred eighty million, eight hundred forty-eight thousand".