42255911520 has 288 divisors, whose sum is σ = 154367216640. Its totient is φ = 10904440320.

The previous prime is 42255911491. The next prime is 42255911539. The reversal of 42255911520 is 2511955224.

42255911520 is a `hidden beast` number, since 42 + 2 + 5 + 5 + 91 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187751 + ... + 1222809.

It is an arithmetic number, because the mean of its divisors is an integer number (535997280).

Almost surely, 2^42255911520 is an apocalyptic number.

42255911520 is a gapful number since it is divisible by the number (40) 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 42255911520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77183608320).

42255911520 is an abundant number, since it is smaller than the sum of its proper divisors (112111305120).

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

42255911520 is a wasteful number, since it uses less digits than its factorization.

42255911520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35120 (or 35100 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 42255911520 in words is "forty-two billion, two hundred fifty-five million, nine hundred eleven thousand, five hundred twenty".