42591645895680 has 1056 divisors, whose sum is σ = 178822292388480. Its totient is φ = 9150293606400.

The previous prime is 42591645895651. The next prime is 42591645895693. The reversal of 42591645895680 is 8659854619524.

42591645895680 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 1 + 6 + 4 + 58 + 9 + 568 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42591645895599 and 42591645895608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4436162880 + ... + 4436172480.

Almost surely, 2^{42591645895680} is an apocalyptic number.

42591645895680 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 42591645895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89411146194240).

42591645895680 is an abundant number, since it is smaller than the sum of its proper divisors (136230646492800).

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

42591645895680 is a wasteful number, since it uses less digits than its factorization.

42591645895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10444 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 42591645895680 in words is "forty-two trillion, five hundred ninety-one billion, six hundred forty-five million, eight hundred ninety-five thousand, six hundred eighty".