45521205600 has 288 divisors, whose sum is σ = 160566223104. Its totient is φ = 11135232000.

The previous prime is 45521205599. The next prime is 45521205629. The reversal of 45521205600 is 650212554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5081125 + ... + 5090075.

It is an arithmetic number, because the mean of its divisors is an integer number (557521608).

Almost surely, 2^45521205600 is an apocalyptic number.

45521205600 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 45521205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80283111552).

45521205600 is an abundant number, since it is smaller than the sum of its proper divisors (115045017504).

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

45521205600 is a wasteful number, since it uses less digits than its factorization.

45521205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 45521205600 in words is "forty-five billion, five hundred twenty-one million, two hundred five thousand, six hundred".