1771181880780 has 384 divisors, whose sum is σ = 5761229193216. Its totient is φ = 402982272000.

The previous prime is 1771181880773. The next prime is 1771181880781. The reversal of 1771181880780 is 870881811771.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1771181880780.

It is not an unprimeable number, because it can be changed into a prime (1771181880781) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 459925855 + ... + 459929705.

It is an arithmetic number, because the mean of its divisors is an integer number (15003201024).

Almost surely, 2^{1771181880780} is an apocalyptic number.

1771181880780 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 1771181880780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880614596608).

1771181880780 is an abundant number, since it is smaller than the sum of its proper divisors (3990047312436).

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

1771181880780 is a wasteful number, since it uses less digits than its factorization.

1771181880780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 57.

The spelling of 1771181880780 in words is "one trillion, seven hundred seventy-one billion, one hundred eighty-one million, eight hundred eighty thousand, seven hundred eighty".