19472988487680 has 3600 divisors, whose sum is σ = 92943196004736. Its totient is φ = 3852635996160.

The previous prime is 19472988487679. The next prime is 19472988487703. The reversal of 19472988487680 is 8678488927491.

19472988487680 is a `hidden beast` number, since 1 + 9 + 4 + 72 + 9 + 8 + 8 + 487 + 68 + 0 = 666.

It is a Smith number, since the sum of its digits (81) 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 (81).

It is a self number, because there is not a number n which added to its sum of digits gives 19472988487680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 71856045945 + ... + 71856046215.

Almost surely, 2^{19472988487680} is an apocalyptic number.

19472988487680 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 19472988487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46471598002368).

19472988487680 is an abundant number, since it is smaller than the sum of its proper divisors (73470207517056).

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

19472988487680 is a wasteful number, since it uses less digits than its factorization.

19472988487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 81.

The spelling of 19472988487680 in words is "nineteen trillion, four hundred seventy-two billion, nine hundred eighty-eight million, four hundred eighty-seven thousand, six hundred eighty".