1955606464900 has 81 divisors (see below), whose sum is σ = 4664892408463. Its totient is φ = 711073686400.

The previous prime is 1955606464871. The next prime is 1955606464901. The reversal of 1955606464900 is 94646065591.

The square root of 1955606464900 is 1398430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 314153524036 + 1641452940864 = 560494^2 + 1281192^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1955606464901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153820944 + ... + 153833656.

Almost surely, 2^{1955606464900} is an apocalyptic number.

1955606464900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1955606464900 is the 1398430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1955606464900

1955606464900 is an abundant number, since it is smaller than the sum of its proper divisors (2709285943563).

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

1955606464900 is an equidigital number, since it uses as much as digits as its factorization.

1955606464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25462 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 1955606464900 in words is "one trillion, nine hundred fifty-five billion, six hundred six million, four hundred sixty-four thousand, nine hundred".