45126057060 has 432 divisors, whose sum is σ = 165606884352. Its totient is φ = 9906624000.

The previous prime is 45126057049. The next prime is 45126057079. The reversal of 45126057060 is 6075062154.

It is a happy number.

45126057060 is a `hidden beast` number, since 4 + 5 + 1 + 26 + 0 + 570 + 60 = 666.

It is a super-2 number, since 2×45126057060² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41285874 + ... + 41286966.

Almost surely, 2^45126057060 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 45126057060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82803442176).

45126057060 is an abundant number, since it is smaller than the sum of its proper divisors (120480827292).

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

45126057060 is a wasteful number, since it uses less digits than its factorization.

45126057060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 45126057060 in words is "forty-five billion, one hundred twenty-six million, fifty-seven thousand, sixty".