1177887804240 has 640 divisors, whose sum is σ = 4547548938240. Its totient is φ = 246182436864.

The previous prime is 1177887804239. The next prime is 1177887804251. The reversal of 1177887804240 is 424087887711.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149988154 + ... + 149996006.

It is an arithmetic number, because the mean of its divisors is an integer number (7105545216).

Almost surely, 2^{1177887804240} is an apocalyptic number.

1177887804240 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 1177887804240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273774469120).

1177887804240 is an abundant number, since it is smaller than the sum of its proper divisors (3369661134000).

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

1177887804240 is a wasteful number, since it uses less digits than its factorization.

1177887804240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 57.

The spelling of 1177887804240 in words is "one trillion, one hundred seventy-seven billion, eight hundred eighty-seven million, eight hundred four thousand, two hundred forty".