19380588480 has 672 divisors, whose sum is σ = 76447058688. Its totient is φ = 4464230400.

The previous prime is 19380588467. The next prime is 19380588499. The reversal of 19380588480 is 8488508391.

19380588480 is a `hidden beast` number, since 1 + 9 + 3 + 80 + 5 + 88 + 480 = 666.

It is a super-2 number, since 2×19380588480² (a number of 21 digits) contains 22 as substring.

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, 55851667 + ... + 55852013.

It is an arithmetic number, because the mean of its divisors is an integer number (113760504).

Almost surely, 2^19380588480 is an apocalyptic number.

19380588480 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 19380588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223529344).

19380588480 is an abundant number, since it is smaller than the sum of its proper divisors (57066470208).

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

19380588480 is a wasteful number, since it uses less digits than its factorization.

19380588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 19380588480 in words is "nineteen billion, three hundred eighty million, five hundred eighty-eight thousand, four hundred eighty".