1097288599680 has 1536 divisors, whose sum is σ = 4957211750400. Its totient is φ = 217379635200.

The previous prime is 1097288599679. The next prime is 1097288599721. The reversal of 1097288599680 is 869958827901.

1097288599680 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 28 + 8 + 599 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1097288599680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1097288599599 and 1097288599608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 562422705 + ... + 562424655.

It is an arithmetic number, because the mean of its divisors is an integer number (3227351400).

Almost surely, 2^{1097288599680} is an apocalyptic number.

1097288599680 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 1097288599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478605875200).

1097288599680 is an abundant number, since it is smaller than the sum of its proper divisors (3859923150720).

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

1097288599680 is a wasteful number, since it uses less digits than its factorization.

1097288599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 1097288599680 in words is "one trillion, ninety-seven billion, two hundred eighty-eight million, five hundred ninety-nine thousand, six hundred eighty".