1170126578880 has 448 divisors, whose sum is σ = 4736510069760. Its totient is φ = 266388480000.

The previous prime is 1170126578867. The next prime is 1170126578899. The reversal of 1170126578880 is 888756210711.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1170126578880³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15141940 + ... + 15219020.

It is an arithmetic number, because the mean of its divisors is an integer number (10572567120).

Almost surely, 2^{1170126578880} is an apocalyptic number.

1170126578880 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 1170126578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368255034880).

1170126578880 is an abundant number, since it is smaller than the sum of its proper divisors (3566383490880).

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

1170126578880 is a wasteful number, since it uses less digits than its factorization.

1170126578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77365 (or 77349 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 1170126578880 in words is "one trillion, one hundred seventy billion, one hundred twenty-six million, five hundred seventy-eight thousand, eight hundred eighty".