42768523010655 has 288 divisors, whose sum is σ = 89823710923200. Its totient is φ = 19281030193152.

The previous prime is 42768523010627. The next prime is 42768523010683. The reversal of 42768523010655 is 55601032586724.

42768523010655 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 8 + 523 + 0 + 106 + 5 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (42768523010627) and next prime (42768523010683).

It is not a de Polignac number, because 42768523010655 - 2⁷ = 42768523010527 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 243873141 + ... + 244048449.

It is an arithmetic number, because the mean of its divisors is an integer number (311887885150).

Almost surely, 2^{42768523010655} is an apocalyptic number.

42768523010655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42768523010655 is an abundant number, since it is smaller than the sum of its proper divisors (47055187912545).

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

42768523010655 is a wasteful number, since it uses less digits than its factorization.

42768523010655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175420 (or 175384 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 42768523010655 in words is "forty-two trillion, seven hundred sixty-eight billion, five hundred twenty-three million, ten thousand, six hundred fifty-five".