1955378880 has 560 divisors, whose sum is σ = 8571097920. Its totient is φ = 412065792.

The previous prime is 1955378839. The next prime is 1955378891. The reversal of 1955378880 is 888735591.

1955378880 is a `hidden beast` number, since 1 + 9 + 553 + 7 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358306 + ... + 2359134.

It is an arithmetic number, because the mean of its divisors is an integer number (15305532).

Almost surely, 2^1955378880 is an apocalyptic number.

1955378880 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 1955378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285548960).

1955378880 is an abundant number, since it is smaller than the sum of its proper divisors (6615719040).

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

1955378880 is a wasteful number, since it uses less digits than its factorization.

1955378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The square root of 1955378880 is about 44219.6662131229. Note that the first 3 decimals coincide. The cubic root of 1955378880 is about 1250.4806428956.

The spelling of 1955378880 in words is "one billion, nine hundred fifty-five million, three hundred seventy-eight thousand, eight hundred eighty".