45210009600 has 864 divisors, whose sum is σ = 192433933440. Its totient is φ = 10192158720.

The previous prime is 45210009577. The next prime is 45210009631. The reversal of 45210009600 is 690001254.

45210009600 is a `hidden beast` number, since 4 + 52 + 1 + 0 + 0 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 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 47 ways as a sum of consecutive naturals, for example, 619315164 + ... + 619315236.

It is an arithmetic number, because the mean of its divisors is an integer number (222724460).

Almost surely, 2^45210009600 is an apocalyptic number.

45210009600 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 45210009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96216966720).

45210009600 is an abundant number, since it is smaller than the sum of its proper divisors (147223923840).

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

45210009600 is an frugal number, since it uses more digits than its factorization.

45210009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 45210009600 in words is "forty-five billion, two hundred ten million, nine thousand, six hundred".