2878866567360 has 1344 divisors, whose sum is σ = 12129919506432. Its totient is φ = 636301246464.

The previous prime is 2878866567319. The next prime is 2878866567407. The reversal of 2878866567360 is 637656688782.

2878866567360 is a `hidden beast` number, since 2 + 8 + 78 + 86 + 65 + 67 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2105973397 + ... + 2105974763.

It is an arithmetic number, because the mean of its divisors is an integer number (9025237728).

Almost surely, 2^{2878866567360} is an apocalyptic number.

2878866567360 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 2878866567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064959753216).

2878866567360 is an abundant number, since it is smaller than the sum of its proper divisors (9251052939072).

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

2878866567360 is a wasteful number, since it uses less digits than its factorization.

2878866567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 2878866567360 in words is "two trillion, eight hundred seventy-eight billion, eight hundred sixty-six million, five hundred sixty-seven thousand, three hundred sixty".