1955266560 has 544 divisors, whose sum is σ = 7927174080. Its totient is φ = 452984832.

The previous prime is 1955266541. The next prime is 1955266571. The reversal of 1955266560 is 656625591.

1955266560 is a `hidden beast` number, since 1 + 9 + 5 + 526 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 115015672 + ... + 115015688.

Almost surely, 2^1955266560 is an apocalyptic number.

1955266560 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 1955266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963587040).

1955266560 is an abundant number, since it is smaller than the sum of its proper divisors (5971907520).

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

1955266560 is an equidigital number, since it uses as much as digits as its factorization.

1955266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 1955266560 is about 44218.3961717293. The cubic root of 1955266560 is about 1250.4566992536.

The spelling of 1955266560 in words is "one billion, nine hundred fifty-five million, two hundred sixty-six thousand, five hundred sixty".