1072582041600 has 1680 divisors, whose sum is σ = 4336097784480. Its totient is φ = 261174067200.

The previous prime is 1072582041569. The next prime is 1072582041613. The reversal of 1072582041600 is 61402852701.

1072582041600 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 5 + 8 + 2 + 0 + 41 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 12922675159 + ... + 12922675241.

It is an arithmetic number, because the mean of its divisors is an integer number (2581010586).

Almost surely, 2^{1072582041600} is an apocalyptic number.

1072582041600 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 1072582041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168048892240).

1072582041600 is an abundant number, since it is smaller than the sum of its proper divisors (3263515742880).

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

1072582041600 is an equidigital number, since it uses as much as digits as its factorization.

1072582041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1072582041600 in words is "one trillion, seventy-two billion, five hundred eighty-two million, forty-one thousand, six hundred".