42759870995520 has 1680 divisors, whose sum is σ = 186738923448000. Its totient is φ = 9234997567488.

The previous prime is 42759870995507. The next prime is 42759870995537. The reversal of 42759870995520 is 2559907895724.

42759870995520 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 9 + 8 + 7 + 0 + 9 + 95 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10111104766 + ... + 10111108994.

It is an arithmetic number, because the mean of its divisors is an integer number (111154121100).

Almost surely, 2^{42759870995520} is an apocalyptic number.

42759870995520 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 42759870995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93369461724000).

42759870995520 is an abundant number, since it is smaller than the sum of its proper divisors (143979052452480).

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

42759870995520 is a wasteful number, since it uses less digits than its factorization.

42759870995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 42759870995520 in words is "forty-two trillion, seven hundred fifty-nine billion, eight hundred seventy million, nine hundred ninety-five thousand, five hundred twenty".