1097648275200 has 864 divisors, whose sum is σ = 3984075877824. Its totient is φ = 264996126720.

The previous prime is 1097648275193. The next prime is 1097648275231. The reversal of 1097648275200 is 25728467901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171449132 + ... + 1171450068.

Almost surely, 2^{1097648275200} is an apocalyptic number.

1097648275200 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 1097648275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992037938912).

1097648275200 is an abundant number, since it is smaller than the sum of its proper divisors (2886427602624).

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

1097648275200 is a wasteful number, since it uses less digits than its factorization.

1097648275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 1097648275200 in words is "one trillion, ninety-seven billion, six hundred forty-eight million, two hundred seventy-five thousand, two hundred".