2768855403132 has 768 divisors, whose sum is σ = 9117375590400. Its totient is φ = 707454259200.

The previous prime is 2768855403073. The next prime is 2768855403157. The reversal of 2768855403132 is 2313045588672.

2768855403132 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 85 + 540 + 3 + 13 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16986842883 + ... + 16986843045.

It is an arithmetic number, because the mean of its divisors is an integer number (11871582800).

Almost surely, 2^{2768855403132} 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 2768855403132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558687795200).

2768855403132 is an abundant number, since it is smaller than the sum of its proper divisors (6348520187268).

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

2768855403132 is a wasteful number, since it uses less digits than its factorization.

2768855403132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

It can be divided in two parts, 276885540 and 3132, that added together give a palindrome (276888672).

The spelling of 2768855403132 in words is "two trillion, seven hundred sixty-eight billion, eight hundred fifty-five million, four hundred three thousand, one hundred thirty-two".