1082378505600 has 960 divisors, whose sum is σ = 4642645708800. Its totient is φ = 243183513600.

The previous prime is 1082378505589. The next prime is 1082378505601. The reversal of 1082378505600 is 65058732801.

1082378505600 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 3 + 7 + 85 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082378505601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 107044545 + ... + 107054655.

It is an arithmetic number, because the mean of its divisors is an integer number (4836089280).

Almost surely, 2^{1082378505600} is an apocalyptic number.

1082378505600 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 1082378505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321322854400).

1082378505600 is an abundant number, since it is smaller than the sum of its proper divisors (3560267203200).

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

1082378505600 is a wasteful number, since it uses less digits than its factorization.

1082378505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1082378505600 in words is "one trillion, eighty-two billion, three hundred seventy-eight million, five hundred five thousand, six hundred".