1380760617600 has 1728 divisors, whose sum is σ = 6445052490240. Its totient is φ = 274038128640.

The previous prime is 1380760617547. The next prime is 1380760617601. The reversal of 1380760617600 is 67160670831.

1380760617600 is a `hidden beast` number, since 1 + 38 + 0 + 7 + 6 + 0 + 6 + 1 + 7 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1380760617601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 757410289 + ... + 757412111.

Almost surely, 2^{1380760617600} is an apocalyptic number.

1380760617600 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 1380760617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222526245120).

1380760617600 is an abundant number, since it is smaller than the sum of its proper divisors (5064291872640).

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

1380760617600 is a wasteful number, since it uses less digits than its factorization.

1380760617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1380760617600 in words is "one trillion, three hundred eighty billion, seven hundred sixty million, six hundred seventeen thousand, six hundred".