2788369272000 has 1120 divisors, whose sum is σ = 11173572393984. Its totient is φ = 682380288000.

The previous prime is 2788369271983. The next prime is 2788369272047. The reversal of 2788369272000 is 2729638872.

2788369272000 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 369 + 272 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1608983134 + ... + 1608984866.

Almost surely, 2^{2788369272000} is an apocalyptic number.

2788369272000 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 2788369272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586786196992).

2788369272000 is an abundant number, since it is smaller than the sum of its proper divisors (8385203121984).

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

2788369272000 is a wasteful number, since it uses less digits than its factorization.

2788369272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2788369272000 in words is "two trillion, seven hundred eighty-eight billion, three hundred sixty-nine million, two hundred seventy-two thousand".