1082372349600 has 432 divisors, whose sum is σ = 4054643611200. Its totient is φ = 281590732800.

The previous prime is 1082372349571. The next prime is 1082372349647. The reversal of 1082372349600 is 69432732801.

1082372349600 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 3 + 7 + 2 + 34 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 71 ways as a sum of consecutive naturals, for example, 7902501 + ... + 8038299.

It is an arithmetic number, because the mean of its divisors is an integer number (9385749100).

Almost surely, 2^{1082372349600} is an apocalyptic number.

1082372349600 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 1082372349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027321805600).

1082372349600 is an abundant number, since it is smaller than the sum of its proper divisors (2972271261600).

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

1082372349600 is a wasteful number, since it uses less digits than its factorization.

1082372349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135875 (or 135850 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1082372349600 in words is "one trillion, eighty-two billion, three hundred seventy-two million, three hundred forty-nine thousand, six hundred".