19142680661280 has 480 divisors, whose sum is σ = 73869765032448. Its totient is φ = 4629917491200.

The previous prime is 19142680661243. The next prime is 19142680661281. The reversal of 19142680661280 is 8216608624191.

19142680661280 is a `hidden beast` number, since 1 + 9 + 1 + 426 + 80 + 6 + 61 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (19142680661281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61573425 + ... + 61883535.

Almost surely, 2^{19142680661280} is an apocalyptic number.

19142680661280 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 19142680661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36934882516224).

19142680661280 is an abundant number, since it is smaller than the sum of its proper divisors (54727084371168).

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

19142680661280 is a wasteful number, since it uses less digits than its factorization.

19142680661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310582 (or 310565 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 19142680661280 in words is "nineteen trillion, one hundred forty-two billion, six hundred eighty million, six hundred sixty-one thousand, two hundred eighty".