1953720000 has 490 divisors, whose sum is σ = 7371974588. Its totient is φ = 513216000.

The previous prime is 1953719969. The next prime is 1953720001. The reversal of 1953720000 is 273591.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1953720001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 29159967 + ... + 29160033.

Almost surely, 2^1953720000 is an apocalyptic number.

1953720000 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 1953720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685987294).

1953720000 is an abundant number, since it is smaller than the sum of its proper divisors (5418254588).

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

1953720000 is an frugal number, since it uses more digits than its factorization.

1953720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1953720000 is about 44200.9049681112. The cubic root of 1953720000 is about 1250.1269204459.

Adding to 1953720000 its reverse (273591), we get a palindrome (1953993591).

The spelling of 1953720000 in words is "one billion, nine hundred fifty-three million, seven hundred twenty thousand".