1071098904960 has 384 divisors, whose sum is σ = 4236337684800. Its totient is φ = 244282687488.

The previous prime is 1071098904959. The next prime is 1071098904977. The reversal of 1071098904960 is 694098901701.

1071098904960 is a `hidden beast` number, since 1 + 0 + 71 + 0 + 9 + 89 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1071098904960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1071098904897 and 1071098904906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18397176 + ... + 18455304.

Almost surely, 2^{1071098904960} is an apocalyptic number.

1071098904960 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 1071098904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118168842400).

1071098904960 is an abundant number, since it is smaller than the sum of its proper divisors (3165238779840).

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

1071098904960 is a wasteful number, since it uses less digits than its factorization.

1071098904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58618 (or 58603 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1071098904960 in words is "one trillion, seventy-one billion, ninety-eight million, nine hundred four thousand, nine hundred sixty".