1653120000 has 660 divisors, whose sum is σ = 6983152176. Its totient is φ = 368640000.

The previous prime is 1653119989. The next prime is 1653120013. The reversal of 1653120000 is 213561.

1653120000 is a `hidden beast` number, since 1 + 653 + 12 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40319980 + ... + 40320020.

Almost surely, 2^1653120000 is an apocalyptic number.

1653120000 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 1653120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491576088).

1653120000 is an abundant number, since it is smaller than the sum of its proper divisors (5330032176).

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

1653120000 is an equidigital number, since it uses as much as digits as its factorization.

1653120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1653120000 is about 40658.5784306338. The cubic root of 1653120000 is about 1182.4100890089.

Adding to 1653120000 its reverse (213561), we get a palindrome (1653333561).

The spelling of 1653120000 in words is "one billion, six hundred fifty-three million, one hundred twenty thousand".