2156768728800 has 576 divisors, whose sum is σ = 8438363910144. Its totient is φ = 468065894400.

The previous prime is 2156768728757. The next prime is 2156768728813. The reversal of 2156768728800 is 88278676512.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27563332 + ... + 27641468.

It is an arithmetic number, because the mean of its divisors is an integer number (14649937344).

Almost surely, 2^{2156768728800} is an apocalyptic number.

2156768728800 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 2156768728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219181955072).

2156768728800 is an abundant number, since it is smaller than the sum of its proper divisors (6281595181344).

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

2156768728800 is a wasteful number, since it uses less digits than its factorization.

2156768728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78251 (or 78238 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 2156768728800 in words is "two trillion, one hundred fifty-six billion, seven hundred sixty-eight million, seven hundred twenty-eight thousand, eight hundred".