2797534133856 has 2304 divisors, whose sum is σ = 11530874880000. Its totient is φ = 652008268800.

The previous prime is 2797534133789. The next prime is 2797534133869. The reversal of 2797534133856 is 6583314357972.

2797534133856 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 534 + 13 + 3 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (114307200) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 2797534133793 and 2797534133802.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 59522002825 + ... + 59522002871.

It is an arithmetic number, because the mean of its divisors is an integer number (5004720000).

Almost surely, 2^{2797534133856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2797534133856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765437440000).

2797534133856 is an abundant number, since it is smaller than the sum of its proper divisors (8733340746144).

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

2797534133856 is a wasteful number, since it uses less digits than its factorization.

2797534133856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 120 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 2797534133856 in words is "two trillion, seven hundred ninety-seven billion, five hundred thirty-four million, one hundred thirty-three thousand, eight hundred fifty-six".