42582500547840 has 576 divisors, whose sum is σ = 173522021299200. Its totient is φ = 9779711385600.

The previous prime is 42582500547809. The next prime is 42582500547871. The reversal of 42582500547840 is 4874500528524.

42582500547840 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 2 + 50 + 0 + 547 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (42582500547809) and next prime (42582500547871).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 4275355 + ... + 10170725.

It is an arithmetic number, because the mean of its divisors is an integer number (301253509200).

Almost surely, 2^{42582500547840} is an apocalyptic number.

42582500547840 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 42582500547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86761010649600).

42582500547840 is an abundant number, since it is smaller than the sum of its proper divisors (130939520751360).

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

42582500547840 is a wasteful number, since it uses less digits than its factorization.

42582500547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895431 (or 5895411 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 42582500547840 in words is "forty-two trillion, five hundred eighty-two billion, five hundred million, five hundred forty-seven thousand, eight hundred forty".