42606586649088 has 1920 divisors, whose sum is σ = 166407465312000. Its totient is φ = 10630793134080.

The previous prime is 42606586649087. The next prime is 42606586649101. The reversal of 42606586649088 is 88094668560624.

It is a happy number.

42606586649088 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 6 + 58 + 6 + 6 + 490 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42606586649087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58126311570 + ... + 58126312302.

It is an arithmetic number, because the mean of its divisors is an integer number (86670554850).

Almost surely, 2^{42606586649088} is an apocalyptic number.

42606586649088 is a gapful number since it is divisible by the number (48) 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 42606586649088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83203732656000).

42606586649088 is an abundant number, since it is smaller than the sum of its proper divisors (123800878662912).

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

42606586649088 is a wasteful number, since it uses less digits than its factorization.

42606586649088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 42606586649088 in words is "forty-two trillion, six hundred six billion, five hundred eighty-six million, six hundred forty-nine thousand, eighty-eight".