1955749646880 has 72 divisors (see below), whose sum is σ = 6673995674892. Its totient is φ = 521533238784.

The previous prime is 1955749646857. The next prime is 1955749646891. The reversal of 1955749646880 is 886469475591.

1955749646880 is a `hidden beast` number, since 1 + 9 + 5 + 5 + 74 + 96 + 468 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1952290795536 + 3458851344 = 1397244^2 + 58812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1955749646799 and 1955749646808.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 679078299 + ... + 679081178.

Almost surely, 2^{1955749646880} is an apocalyptic number.

1955749646880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1955749646880 is an abundant number, since it is smaller than the sum of its proper divisors (4718246028012).

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

1955749646880 is a wasteful number, since it uses less digits than its factorization.

1955749646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358159498 (or 1358159487 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 1955749646880 in words is "one trillion, nine hundred fifty-five billion, seven hundred forty-nine million, six hundred forty-six thousand, eight hundred eighty".