1955568000 has 256 divisors, whose sum is σ = 6553198080. Its totient is φ = 515840000.

The previous prime is 1955567969. The next prime is 1955568023. The reversal of 1955568000 is 8655591.

It is a self number, because there is not a number n which added to its sum of digits gives 1955568000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6287845 + ... + 6288155.

It is an arithmetic number, because the mean of its divisors is an integer number (25598430).

Almost surely, 2^1955568000 is an apocalyptic number.

1955568000 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 1955568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276599040).

1955568000 is an abundant number, since it is smaller than the sum of its proper divisors (4597630080).

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

1955568000 is a wasteful number, since it uses less digits than its factorization.

1955568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 1955568000 is about 44221.8045764756. The cubic root of 1955568000 is about 1250.5209561869.

The spelling of 1955568000 in words is "one billion, nine hundred fifty-five million, five hundred sixty-eight thousand".