126021605064 has 256 divisors, whose sum is σ = 359773747200. Its totient is φ = 36546048000.

The previous prime is 126021605057. The next prime is 126021605071. The reversal of 126021605064 is 460506120621.

It is an interprime number because it is at equal distance from previous prime (126021605057) and next prime (126021605071).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55588459 + ... + 55590725.

It is an arithmetic number, because the mean of its divisors is an integer number (1405366200).

Almost surely, 2^126021605064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126021605064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179886873600).

126021605064 is an abundant number, since it is smaller than the sum of its proper divisors (233752142136).

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

126021605064 is a wasteful number, since it uses less digits than its factorization.

126021605064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 126021605064 its reverse (460506120621), we get a palindrome (586527725685).

The spelling of 126021605064 in words is "one hundred twenty-six billion, twenty-one million, six hundred five thousand, sixty-four".