45270005760 has 1152 divisors, whose sum is σ = 195754890240. Its totient is φ = 9809952768.

The previous prime is 45270005741. The next prime is 45270005761. The reversal of 45270005760 is 6750007254.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45270005761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400619464 + ... + 400619576.

It is an arithmetic number, because the mean of its divisors is an integer number (169926120).

Almost surely, 2^45270005760 is an apocalyptic number.

45270005760 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 45270005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97877445120).

45270005760 is an abundant number, since it is smaller than the sum of its proper divisors (150484884480).

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

45270005760 is a wasteful number, since it uses less digits than its factorization.

45270005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 45270005760 in words is "forty-five billion, two hundred seventy million, five thousand, seven hundred sixty".