1097827280032 has 192 divisors, whose sum is σ = 2692457107200. Its totient is φ = 438893887488.

The previous prime is 1097827280029. The next prime is 1097827280041. The reversal of 1097827280032 is 2300827287901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21058863 + ... + 21110929.

It is an arithmetic number, because the mean of its divisors is an integer number (14023214100).

Almost surely, 2^{1097827280032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097827280032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346228553600).

1097827280032 is an abundant number, since it is smaller than the sum of its proper divisors (1594629827168).

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

1097827280032 is a wasteful number, since it uses less digits than its factorization.

1097827280032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52228 (or 52206 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 1097827280032 in words is "one trillion, ninety-seven billion, eight hundred twenty-seven million, two hundred eighty thousand, thirty-two".