19280063040 has 896 divisors, whose sum is σ = 78653030400. Its totient is φ = 3901685760.

The previous prime is 19280063039. The next prime is 19280063057. The reversal of 19280063040 is 4036008291.

It is a junction number, because it is equal to n+sod(n) for n = 19280062992 and 19280063010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151811457 + ... + 151811583.

It is an arithmetic number, because the mean of its divisors is an integer number (87782400).

Almost surely, 2^19280063040 is an apocalyptic number.

19280063040 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 19280063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39326515200).

19280063040 is an abundant number, since it is smaller than the sum of its proper divisors (59372967360).

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

19280063040 is a wasteful number, since it uses less digits than its factorization.

19280063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 19280063040 in words is "nineteen billion, two hundred eighty million, sixty-three thousand, forty".