45955199727360 has 864 divisors, whose sum is σ = 198414843314688. Its totient is φ = 9540422369280.

The previous prime is 45955199727337. The next prime is 45955199727373. The reversal of 45955199727360 is 6372799155954.

45955199727360 is a `hidden beast` number, since 4 + 5 + 9 + 5 + 5 + 199 + 72 + 7 + 360 = 666.

It is a super-2 number, since 2×45955199727360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 996122854 + ... + 996168986.

It is an arithmetic number, because the mean of its divisors is an integer number (229646809392).

Almost surely, 2^{45955199727360} is an apocalyptic number.

45955199727360 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 45955199727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99207421657344).

45955199727360 is an abundant number, since it is smaller than the sum of its proper divisors (152459643587328).

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

45955199727360 is a wasteful number, since it uses less digits than its factorization.

45955199727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47301 (or 47284 counting only the distinct ones).

The product of its (nonzero) digits is 642978000, while the sum is 72.

The spelling of 45955199727360 in words is "forty-five trillion, nine hundred fifty-five billion, one hundred ninety-nine million, seven hundred twenty-seven thousand, three hundred sixty".