45758510280 has 320 divisors, whose sum is σ = 178400154240. Its totient is φ = 10302640128.

The previous prime is 45758510261. The next prime is 45758510341. The reversal of 45758510280 is 8201585754.

45758510280 is a `hidden beast` number, since 4 + 5 + 7 + 58 + 510 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1504504 + ... + 1534616.

It is an arithmetic number, because the mean of its divisors is an integer number (557500482).

Almost surely, 2^45758510280 is an apocalyptic number.

45758510280 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 45758510280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89200077120).

45758510280 is an abundant number, since it is smaller than the sum of its proper divisors (132641643960).

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

45758510280 is a wasteful number, since it uses less digits than its factorization.

45758510280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30210 (or 30197 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 45758510280 in words is "forty-five billion, seven hundred fifty-eight million, five hundred ten thousand, two hundred eighty".