45062075520 has 1536 divisors, whose sum is σ = 207869276160. Its totient is φ = 9057484800.

The previous prime is 45062075519. The next prime is 45062075579. The reversal of 45062075520 is 2557026054.

45062075520 is a `hidden beast` number, since 4 + 5 + 0 + 62 + 0 + 75 + 520 = 666.

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 191 ways as a sum of consecutive naturals, for example, 634677085 + ... + 634677155.

It is an arithmetic number, because the mean of its divisors is an integer number (135331560).

Almost surely, 2^45062075520 is an apocalyptic number.

45062075520 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 45062075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103934638080).

45062075520 is an abundant number, since it is smaller than the sum of its proper divisors (162807200640).

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

45062075520 is a wasteful number, since it uses less digits than its factorization.

45062075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 45062075520 in words is "forty-five billion, sixty-two million, seventy-five thousand, five hundred twenty".