1080177171840 has 320 divisors, whose sum is σ = 4154241666960. Its totient is φ = 265889599488.

The previous prime is 1080177171809. The next prime is 1080177171851. The reversal of 1080177171840 is 481717710801.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127494 + ... + 1475333.

Almost surely, 2^{1080177171840} is an apocalyptic number.

1080177171840 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 1080177171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077120833480).

1080177171840 is an abundant number, since it is smaller than the sum of its proper divisors (3074064495120).

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

1080177171840 is a wasteful number, since it uses less digits than its factorization.

1080177171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602871 (or 1602850 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 45.

The spelling of 1080177171840 in words is "one trillion, eighty billion, one hundred seventy-seven million, one hundred seventy-one thousand, eight hundred forty".