1955113680 has 480 divisors, whose sum is σ = 7188825600. Its totient is φ = 437778432.

The previous prime is 1955113669. The next prime is 1955113681. The reversal of 1955113680 is 863115591.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955113681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33137491 + ... + 33137549.

It is an arithmetic number, because the mean of its divisors is an integer number (14976720).

Almost surely, 2^1955113680 is an apocalyptic number.

1955113680 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 1955113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594412800).

1955113680 is an abundant number, since it is smaller than the sum of its proper divisors (5233711920).

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

1955113680 is a wasteful number, since it uses less digits than its factorization.

1955113680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 1955113680 is about 44216.6674456590. The cubic root of 1955113680 is about 1250.4241078231.

The spelling of 1955113680 in words is "one billion, nine hundred fifty-five million, one hundred thirteen thousand, six hundred eighty".