2796208128000 has 2160 divisors, whose sum is σ = 12410113860144. Its totient is φ = 624269721600.

The previous prime is 2796208127981. The next prime is 2796208128019. The reversal of 2796208128000 is 8218026972.

2796208128000 is a `hidden beast` number, since 2 + 7 + 9 + 620 + 8 + 12 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2796208127981) and next prime (2796208128019).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65028095979 + ... + 65028096021.

Almost surely, 2^{2796208128000} is an apocalyptic number.

2796208128000 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 2796208128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205056930072).

2796208128000 is an abundant number, since it is smaller than the sum of its proper divisors (9613905732144).

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

2796208128000 is an frugal number, since it uses more digits than its factorization.

2796208128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

2796208128000 divided by its product of nonzero digits (193536) gives a triangular number (14448000 = T₅₃₇₅).

The spelling of 2796208128000 in words is "two trillion, seven hundred ninety-six billion, two hundred eight million, one hundred twenty-eight thousand".