1538988756480 has 960 divisors, whose sum is σ = 6270189539328. Its totient is φ = 341596569600.

The previous prime is 1538988756419. The next prime is 1538988756491. The reversal of 1538988756480 is 846578898351.

1538988756480 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 98 + 8 + 7 + 56 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 1538988756399 and 1538988756408.

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, 788819505 + ... + 788821455.

Almost surely, 2^{1538988756480} is an apocalyptic number.

1538988756480 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 1538988756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135094769664).

1538988756480 is an abundant number, since it is smaller than the sum of its proper divisors (4731200782848).

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

1538988756480 is a wasteful number, since it uses less digits than its factorization.

1538988756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 1538988756480 in words is "one trillion, five hundred thirty-eight billion, nine hundred eighty-eight million, seven hundred fifty-six thousand, four hundred eighty".