1377988281600 has 432 divisors, whose sum is σ = 5255754860160. Its totient is φ = 311427072000.

The previous prime is 1377988281581. The next prime is 1377988281611. The reversal of 1377988281600 is 61828897731.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11904000 + ... + 12019200.

Almost surely, 2^{1377988281600} is an apocalyptic number.

1377988281600 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 1377988281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627877430080).

1377988281600 is an abundant number, since it is smaller than the sum of its proper divisors (3877766578560).

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

1377988281600 is a wasteful number, since it uses less digits than its factorization.

1377988281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115326 (or 115307 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 1377988281600 in words is "one trillion, three hundred seventy-seven billion, nine hundred eighty-eight million, two hundred eighty-one thousand, six hundred".