1377991488960 has 1008 divisors, whose sum is σ = 5371873228800. Its totient is φ = 323205562368.

The previous prime is 1377991488931. The next prime is 1377991489009. The reversal of 1377991488960 is 698841997731.

1377991488960 is a `hidden beast` number, since 1 + 377 + 9 + 91 + 4 + 88 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1249311769 + ... + 1249312871.

Almost surely, 2^{1377991488960} is an apocalyptic number.

1377991488960 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 1377991488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685936614400).

1377991488960 is an abundant number, since it is smaller than the sum of its proper divisors (3993881739840).

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

1377991488960 is a wasteful number, since it uses less digits than its factorization.

1377991488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 1377991488960 in words is "one trillion, three hundred seventy-seven billion, nine hundred ninety-one million, four hundred eighty-eight thousand, nine hundred sixty".