55762826112 has 480 divisors, whose sum is σ = 193788653520. Its totient is φ = 15590817792.

The previous prime is 55762826111. The next prime is 55762826177. The reversal of 55762826112 is 21162826755.

55762826112 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 28 + 2 + 611 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55762826111) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 574874448 + ... + 574874544.

Almost surely, 2^55762826112 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 55762826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96894326760).

55762826112 is an abundant number, since it is smaller than the sum of its proper divisors (138025827408).

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

55762826112 is an frugal number, since it uses more digits than its factorization.

55762826112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 198 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

It can be divided in two parts, 557628 and 26112, that added together give a triangular number (583740 = T₁₀₈₀).

The spelling of 55762826112 in words is "fifty-five billion, seven hundred sixty-two million, eight hundred twenty-six thousand, one hundred twelve".