2087776776960 has 432 divisors, whose sum is σ = 8266343851584. Its totient is φ = 476574547968.

The previous prime is 2087776776941. The next prime is 2087776776961. The reversal of 2087776776960 is 696776777802.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2087776776961) 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 47 ways as a sum of consecutive naturals, for example, 62317974 + ... + 62351466.

It is an arithmetic number, because the mean of its divisors is an integer number (19135055212).

Almost surely, 2^{2087776776960} is an apocalyptic number.

2087776776960 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 2087776776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133171925792).

2087776776960 is an abundant number, since it is smaller than the sum of its proper divisors (6178567074624).

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

2087776776960 is a wasteful number, since it uses less digits than its factorization.

2087776776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34300 (or 34283 counting only the distinct ones).

The product of its (nonzero) digits is 522764928, while the sum is 72.

The spelling of 2087776776960 in words is "two trillion, eighty-seven billion, seven hundred seventy-six million, seven hundred seventy-six thousand, nine hundred sixty".