1381171858560 has 512 divisors, whose sum is σ = 5319165196800. Its totient is φ = 336674340864.

The previous prime is 1381171858553. The next prime is 1381171858601. The reversal of 1381171858560 is 658581711831.

1381171858560 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 1 + 71 + 8 + 5 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1381171858497 and 1381171858506.

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 63 ways as a sum of consecutive naturals, for example, 23108074 + ... + 23167766.

It is an arithmetic number, because the mean of its divisors is an integer number (10388994525).

Almost surely, 2^{1381171858560} is an apocalyptic number.

1381171858560 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 1381171858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659582598400).

1381171858560 is an abundant number, since it is smaller than the sum of its proper divisors (3937993338240).

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

1381171858560 is a wasteful number, since it uses less digits than its factorization.

1381171858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59837 (or 59819 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 1381171858560 in words is "one trillion, three hundred eighty-one billion, one hundred seventy-one million, eight hundred fifty-eight thousand, five hundred sixty".