55726538112 has 480 divisors, whose sum is σ = 194164344000. Its totient is φ = 15819245568.

The previous prime is 55726538111. The next prime is 55726538117. The reversal of 55726538112 is 21183562755.

55726538112 is a `hidden beast` number, since 5 + 5 + 7 + 265 + 381 + 1 + 2 = 666.

It is a super-5 number, since 5×55726538112⁵ (a number of 55 digits) contains 55555 as substring.

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

Its product of digits (504000) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55726538111) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116339089 + ... + 116339567.

It is an arithmetic number, because the mean of its divisors is an integer number (404509050).

Almost surely, 2^55726538112 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 55726538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97082172000).

55726538112 is an abundant number, since it is smaller than the sum of its proper divisors (138437805888).

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

55726538112 is a wasteful number, since it uses less digits than its factorization.

55726538112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 720 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 55726538112 in words is "fifty-five billion, seven hundred twenty-six million, five hundred thirty-eight thousand, one hundred twelve".