1538880000 has 400 divisors, whose sum is σ = 5880367680. Its totient is φ = 350208000.

The previous prime is 1538879999. The next prime is 1538880017. The reversal of 1538880000 is 888351.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719886 + ... + 6720114.

Almost surely, 2^1538880000 is an apocalyptic number.

1538880000 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 1538880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940183840).

1538880000 is an abundant number, since it is smaller than the sum of its proper divisors (4341487680).

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

1538880000 is an frugal number, since it uses more digits than its factorization.

1538880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1538880000 is about 39228.5610238255. The cubic root of 1538880000 is about 1154.5203307970.

The spelling of 1538880000 in words is "one billion, five hundred thirty-eight million, eight hundred eighty thousand".