45502521120 has 720 divisors, whose sum is σ = 189377274240. Its totient is φ = 10257601536.

The previous prime is 45502521107. The next prime is 45502521139. The reversal of 45502521120 is 2112520554.

45502521120 is a `hidden beast` number, since 45 + 502 + 5 + 2 + 112 + 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50167707 + ... + 50168613.

It is an arithmetic number, because the mean of its divisors is an integer number (263023992).

Almost surely, 2^45502521120 is an apocalyptic number.

45502521120 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 45502521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94688637120).

45502521120 is an abundant number, since it is smaller than the sum of its proper divisors (143874753120).

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

45502521120 is a wasteful number, since it uses less digits than its factorization.

45502521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 45502521120 in words is "forty-five billion, five hundred two million, five hundred twenty-one thousand, one hundred twenty".