2877713479872 has 1764 divisors, whose sum is σ = 11163076234128. Its totient is φ = 732872448000.

The previous prime is 2877713479841. The next prime is 2877713479897. The reversal of 2877713479872 is 2789743177782.

2877713479872 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 71 + 3 + 479 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1764).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2877713479872.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 27938965773 + ... + 27938965875.

Almost surely, 2^{2877713479872} is an apocalyptic number.

2877713479872 is a gapful number since it is divisible by the number (22) 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 2877713479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581538117064).

2877713479872 is an abundant number, since it is smaller than the sum of its proper divisors (8285362754256).

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

2877713479872 is a wasteful number, since it uses less digits than its factorization.

2877713479872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 227 counting only the distinct ones).

The product of its digits is 464679936, while the sum is 72.

The spelling of 2877713479872 in words is "two trillion, eight hundred seventy-seven billion, seven hundred thirteen million, four hundred seventy-nine thousand, eight hundred seventy-two".