42592986720 has 288 divisors, whose sum is σ = 153566824320. Its totient is φ = 10732646400.

The previous prime is 42592986697. The next prime is 42592986739. The reversal of 42592986720 is 2768929524.

42592986720 is a `hidden beast` number, since 42 + 592 + 9 + 8 + 6 + 7 + 2 + 0 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1951870 + ... + 1973570.

It is an arithmetic number, because the mean of its divisors is an integer number (533218140).

Almost surely, 2^42592986720 is an apocalyptic number.

42592986720 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 42592986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76783412160).

42592986720 is an abundant number, since it is smaller than the sum of its proper divisors (110973837600).

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

42592986720 is a wasteful number, since it uses less digits than its factorization.

42592986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21798 (or 21787 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 42592986720 in words is "forty-two billion, five hundred ninety-two million, nine hundred eighty-six thousand, seven hundred twenty".