2077835760000 has 3840 divisors, whose sum is σ = 10631626790400. Its totient is φ = 385689600000.

The previous prime is 2077835759959. The next prime is 2077835760001. The reversal of 2077835760000 is 675387702.

2077835760000 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 8 + 35 + 7 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077835760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 67026959985 + ... + 67026960015.

It is an arithmetic number, because the mean of its divisors is an integer number (2768652810).

Almost surely, 2^{2077835760000} is an apocalyptic number.

2077835760000 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 2077835760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315813395200).

2077835760000 is an abundant number, since it is smaller than the sum of its proper divisors (8553791030400).

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

2077835760000 is a wasteful number, since it uses less digits than its factorization.

2077835760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 2077835760000 in words is "two trillion, seventy-seven billion, eight hundred thirty-five million, seven hundred sixty thousand".