1071195079680 has 704 divisors, whose sum is σ = 4170589896960. Its totient is φ = 258578841600.

The previous prime is 1071195079639. The next prime is 1071195079681. The reversal of 1071195079680 is 869705911701.

1071195079680 is a `hidden beast` number, since 1 + 0 + 71 + 1 + 9 + 507 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×1071195079680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1071195079681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390803110 + ... + 390805850.

Almost surely, 2^{1071195079680} is an apocalyptic number.

1071195079680 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 1071195079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085294948480).

1071195079680 is an abundant number, since it is smaller than the sum of its proper divisors (3099394817280).

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

1071195079680 is a wasteful number, since it uses less digits than its factorization.

1071195079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 1071195079680 in words is "one trillion, seventy-one billion, one hundred ninety-five million, seventy-nine thousand, six hundred eighty".