1783955496960 has 2016 divisors, whose sum is σ = 7929525082752. Its totient is φ = 367625502720.

The previous prime is 1783955496901. The next prime is 1783955496989. The reversal of 1783955496960 is 696945593871.

1783955496960 is a `hidden beast` number, since 1 + 7 + 8 + 3 + 9 + 554 + 9 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16672481227 + ... + 16672481333.

It is an arithmetic number, because the mean of its divisors is an integer number (3933296172).

Almost surely, 2^{1783955496960} is an apocalyptic number.

1783955496960 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 1783955496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964762541376).

1783955496960 is an abundant number, since it is smaller than the sum of its proper divisors (6145569585792).

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

1783955496960 is a wasteful number, since it uses less digits than its factorization.

1783955496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 1783955496960 in words is "one trillion, seven hundred eighty-three billion, nine hundred fifty-five million, four hundred ninety-six thousand, nine hundred sixty".