45577260000 has 720 divisors, whose sum is σ = 172241989920. Its totient is φ = 11404800000.

The previous prime is 45577259989. The next prime is 45577260019. The reversal of 45577260000 is 6277554.

45577260000 is a `hidden beast` number, since 45 + 5 + 7 + 7 + 2 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 418139946 + ... + 418140054.

It is an arithmetic number, because the mean of its divisors is an integer number (239224986).

Almost surely, 2^45577260000 is an apocalyptic number.

45577260000 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 45577260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86120994960).

45577260000 is an abundant number, since it is smaller than the sum of its proper divisors (126664729920).

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

45577260000 is a wasteful number, since it uses less digits than its factorization.

45577260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 243 counting only the distinct ones).

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

The spelling of 45577260000 in words is "forty-five billion, five hundred seventy-seven million, two hundred sixty thousand".