42591821760 has 560 divisors, whose sum is σ = 161675100576. Its totient is φ = 10606215168.

The previous prime is 42591821759. The next prime is 42591821851. The reversal of 42591821760 is 6712819524.

42591821760 is a `hidden beast` number, since 42 + 591 + 8 + 2 + 17 + 6 + 0 = 666.

It is a super-3 number, since 3×42591821760³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71824024 + ... + 71824616.

Almost surely, 2^42591821760 is an apocalyptic number.

42591821760 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 42591821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80837550288).

42591821760 is an abundant number, since it is smaller than the sum of its proper divisors (119083278816).

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

42591821760 is a wasteful number, since it uses less digits than its factorization.

42591821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 42591821760 in words is "forty-two billion, five hundred ninety-one million, eight hundred twenty-one thousand, seven hundred sixty".