45272267282880 has 672 divisors, whose sum is σ = 171768150410688. Its totient is φ = 10943677071360.

The previous prime is 45272267282843. The next prime is 45272267282887. The reversal of 45272267282880 is 8828276227254.

45272267282880 is a `hidden beast` number, since 4 + 5 + 2 + 72 + 267 + 28 + 288 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45272267282887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1353131112 + ... + 1353164568.

Almost surely, 2^{45272267282880} is an apocalyptic number.

45272267282880 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 45272267282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85884075205344).

45272267282880 is an abundant number, since it is smaller than the sum of its proper divisors (126495883127808).

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

45272267282880 is a wasteful number, since it uses less digits than its factorization.

45272267282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33866 (or 33831 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 45272267282880 in words is "forty-five trillion, two hundred seventy-two billion, two hundred sixty-seven million, two hundred eighty-two thousand, eight hundred eighty".