45206028000 has 720 divisors, whose sum is σ = 187522289136. Its totient is φ = 10313049600.

The previous prime is 45206027981. The next prime is 45206028029. The reversal of 45206028000 is 82060254.

45206028000 is a `hidden beast` number, since 4 + 52 + 0 + 602 + 8 + 0 + 0 + 0 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 86435739 + ... + 86436261.

Almost surely, 2^45206028000 is an apocalyptic number.

45206028000 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 45206028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93761144568).

45206028000 is an abundant number, since it is smaller than the sum of its proper divisors (142316261136).

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

45206028000 is an equidigital number, since it uses as much as digits as its factorization.

45206028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 45206028000 its reverse (82060254), we get a palindrome (45288088254).

The spelling of 45206028000 in words is "forty-five billion, two hundred six million, twenty-eight thousand".