2875778294400 has 768 divisors, whose sum is σ = 11555055964800. Its totient is φ = 692681932800.

The previous prime is 2875778294371. The next prime is 2875778294453. The reversal of 2875778294400 is 44928775782.

2875778294400 is a `hidden beast` number, since 2 + 8 + 75 + 7 + 78 + 2 + 94 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149203164 + ... + 149222436.

Almost surely, 2^{2875778294400} is an apocalyptic number.

2875778294400 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 2875778294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777527982400).

2875778294400 is an abundant number, since it is smaller than the sum of its proper divisors (8679277670400).

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

2875778294400 is a wasteful number, since it uses less digits than its factorization.

2875778294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19474 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 2875778294400 in words is "two trillion, eight hundred seventy-five billion, seven hundred seventy-eight million, two hundred ninety-four thousand, four hundred".