1538867911680 has 1232 divisors, whose sum is σ = 6207147314784. Its totient is φ = 362617896960.

The previous prime is 1538867911631. The next prime is 1538867911681. The reversal of 1538867911680 is 861197688351.

1538867911680 is a `hidden beast` number, since 1 + 5 + 388 + 6 + 7 + 91 + 168 + 0 = 666.

It is a super-2 number, since 2×1538867911680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538867911681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1519118854 + ... + 1519119866.

Almost surely, 2^{1538867911680} is an apocalyptic number.

1538867911680 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 1538867911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103573657392).

1538867911680 is an abundant number, since it is smaller than the sum of its proper divisors (4668279403104).

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

1538867911680 is a wasteful number, since it uses less digits than its factorization.

1538867911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 1538867911680 in words is "one trillion, five hundred thirty-eight billion, eight hundred sixty-seven million, nine hundred eleven thousand, six hundred eighty".