19365720480 has 72 divisors (see below), whose sum is σ = 66085526052. Its totient is φ = 5164191744.

The previous prime is 19365720469. The next prime is 19365720503. The reversal of 19365720480 is 8402756391.

19365720480 is a `hidden beast` number, since 1 + 9 + 36 + 572 + 0 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19047312144 + 318408336 = 138012^2 + 17844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×19365720480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6722769 + ... + 6725648.

It is a 1-persistent number, because it is pandigital, but 2⋅19365720480 = 38731440960 is not.

Almost surely, 2^19365720480 is an apocalyptic number.

19365720480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19365720480 is an abundant number, since it is smaller than the sum of its proper divisors (46719805572).

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

19365720480 is a wasteful number, since it uses less digits than its factorization.

19365720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13448438 (or 13448427 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 19365720480 in words is "nineteen billion, three hundred sixty-five million, seven hundred twenty thousand, four hundred eighty".