1653550080 has 528 divisors, whose sum is σ = 6664704480. Its totient is φ = 348880896.

The previous prime is 1653550061. The next prime is 1653550117. The reversal of 1653550080 is 800553561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127196154 + ... + 127196166.

Almost surely, 2^1653550080 is an apocalyptic number.

1653550080 is a gapful number since it is divisible by the number (10) 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 1653550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332352240).

1653550080 is an abundant number, since it is smaller than the sum of its proper divisors (5011154400).

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

1653550080 is an equidigital number, since it uses as much as digits as its factorization.

1653550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 1653550080 is about 40663.8670074552. The cubic root of 1653550080 is about 1182.5126197462.

The spelling of 1653550080 in words is "one billion, six hundred fifty-three million, five hundred fifty thousand, eighty".