19681146627840 has 216 divisors, whose sum is σ = 72100289531088. Its totient is φ = 4939581849600.

The previous prime is 19681146627839. The next prime is 19681146627841. The reversal of 19681146627840 is 4872664118691.

19681146627840 is a `hidden beast` number, since 1 + 9 + 68 + 1 + 1 + 466 + 2 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (19681146627839) and next prime (19681146627841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19681146627841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50052186 + ... + 50443865.

It is an arithmetic number, because the mean of its divisors is an integer number (333797636718).

Almost surely, 2^{19681146627840} is an apocalyptic number.

19681146627840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19681146627840 is an abundant number, since it is smaller than the sum of its proper divisors (52419142903248).

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

19681146627840 is a wasteful number, since it uses less digits than its factorization.

19681146627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100496095 (or 100496078 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 19681146627840 in words is "nineteen trillion, six hundred eighty-one billion, one hundred forty-six million, six hundred twenty-seven thousand, eight hundred forty".