2078560360800 has 3888 divisors, whose sum is σ = 10255015199520. Its totient is φ = 393419980800.

The previous prime is 2078560360717. The next prime is 2078560360867. The reversal of 2078560360800 is 80630658702.

2078560360800 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 560 + 3 + 6 + 0 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 28473429564 + ... + 28473429636.

It is an arithmetic number, because the mean of its divisors is an integer number (2637606790).

Almost surely, 2^{2078560360800} is an apocalyptic number.

2078560360800 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 2078560360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127507599760).

2078560360800 is an abundant number, since it is smaller than the sum of its proper divisors (8176454838720).

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

2078560360800 is a wasteful number, since it uses less digits than its factorization.

2078560360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2078560360800 in words is "two trillion, seventy-eight billion, five hundred sixty million, three hundred sixty thousand, eight hundred".