1353821863680 has 864 divisors, whose sum is σ = 5742398817792. Its totient is φ = 289773158400.

The previous prime is 1353821863673. The next prime is 1353821863699. The reversal of 1353821863680 is 863681283531.

1353821863680 is a `hidden beast` number, since 1 + 3 + 5 + 382 + 186 + 3 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37871415 + ... + 37907145.

It is an arithmetic number, because the mean of its divisors is an integer number (6646294928).

Almost surely, 2^{1353821863680} is an apocalyptic number.

1353821863680 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 1353821863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871199408896).

1353821863680 is an abundant number, since it is smaller than the sum of its proper divisors (4388576954112).

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

1353821863680 is a wasteful number, since it uses less digits than its factorization.

1353821863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35805 (or 35788 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1353821863680 in words is "one trillion, three hundred fifty-three billion, eight hundred twenty-one million, eight hundred sixty-three thousand, six hundred eighty".