19514960640 has 432 divisors, whose sum is σ = 80032313088. Its totient is φ = 4460064768.

The previous prime is 19514960539. The next prime is 19514960651. The reversal of 19514960640 is 4606941591.

It is a happy number.

19514960640 is a `hidden beast` number, since 1 + 9 + 514 + 96 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 2172799 + ... + 2181761.

It is an arithmetic number, because the mean of its divisors is an integer number (185259984).

Almost surely, 2^19514960640 is an apocalyptic number.

19514960640 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 19514960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40016156544).

19514960640 is an abundant number, since it is smaller than the sum of its proper divisors (60517352448).

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

19514960640 is an frugal number, since it uses more digits than its factorization.

19514960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9006 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 19514960640 in words is "nineteen billion, five hundred fourteen million, nine hundred sixty thousand, six hundred forty".