19950519456 has 384 divisors, whose sum is σ = 71590417920. Its totient is φ = 5275238400.

The previous prime is 19950519437. The next prime is 19950519461. The reversal of 19950519456 is 65491505991.

19950519456 is a `hidden beast` number, since 1 + 99 + 50 + 51 + 9 + 456 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6270186 + ... + 6273366.

It is an arithmetic number, because the mean of its divisors is an integer number (186433380).

Almost surely, 2^19950519456 is an apocalyptic number.

19950519456 is a gapful number since it is divisible by the number (16) 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 19950519456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35795208960).

19950519456 is an abundant number, since it is smaller than the sum of its proper divisors (51639898464).

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

19950519456 is a wasteful number, since it uses less digits than its factorization.

19950519456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 54.

The spelling of 19950519456 in words is "nineteen billion, nine hundred fifty million, five hundred nineteen thousand, four hundred fifty-six".