2895564672000 has 4928 divisors, whose sum is σ = 15011076907008. Its totient is φ = 537477120000.

The previous prime is 2895564671953. The next prime is 2895564672019. The reversal of 2895564672000 is 2764655982.

2895564672000 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 564 + 6 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 93405311985 + ... + 93405312015.

Almost surely, 2^{2895564672000} is an apocalyptic number.

2895564672000 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 2895564672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505538453504).

2895564672000 is an abundant number, since it is smaller than the sum of its proper divisors (12115512235008).

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

2895564672000 is a wasteful number, since it uses less digits than its factorization.

2895564672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2895564672000 in words is "two trillion, eight hundred ninety-five billion, five hundred sixty-four million, six hundred seventy-two thousand".