1097963475840 has 2560 divisors, whose sum is σ = 5323213209600. Its totient is φ = 208720281600.

The previous prime is 1097963475751. The next prime is 1097963475863. The reversal of 1097963475840 is 485743697901.

1097963475840 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 9 + 6 + 3 + 47 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2351099287 + ... + 2351099753.

It is an arithmetic number, because the mean of its divisors is an integer number (2079380160).

Almost surely, 2^{1097963475840} is an apocalyptic number.

1097963475840 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 1097963475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661606604800).

1097963475840 is an abundant number, since it is smaller than the sum of its proper divisors (4225249733760).

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

1097963475840 is a wasteful number, since it uses less digits than its factorization.

1097963475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1097963475840 in words is "one trillion, ninety-seven billion, nine hundred sixty-three million, four hundred seventy-five thousand, eight hundred forty".