42592211278680 has 512 divisors, whose sum is σ = 148503999283200. Its totient is φ = 9571592669184.

The previous prime is 42592211278649. The next prime is 42592211278691. The reversal of 42592211278680 is 8687211229524.

It is a self number, because there is not a number n which added to its sum of digits gives 42592211278680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24577155094 + ... + 24577156826.

It is an arithmetic number, because the mean of its divisors is an integer number (290046873600).

Almost surely, 2^{42592211278680} is an apocalyptic number.

42592211278680 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 42592211278680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74251999641600).

42592211278680 is an abundant number, since it is smaller than the sum of its proper divisors (105911788004520).

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

42592211278680 is a wasteful number, since it uses less digits than its factorization.

42592211278680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 42592211278680 in words is "forty-two trillion, five hundred ninety-two billion, two hundred eleven million, two hundred seventy-eight thousand, six hundred eighty".