19831925767968 has 360 divisors, whose sum is σ = 62269664688000. Its totient is φ = 6190468872192.

The previous prime is 19831925767967. The next prime is 19831925767999. The reversal of 19831925767968 is 86976752913891.

19831925767968 is a `hidden beast` number, since 1 + 9 + 8 + 31 + 9 + 2 + 576 + 7 + 9 + 6 + 8 = 666.

It is a super-3 number, since 3×19831925767968³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (19831925767967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149001993 + ... + 149135031.

It is an arithmetic number, because the mean of its divisors is an integer number (172971290800).

Almost surely, 2^{19831925767968} is an apocalyptic number.

19831925767968 is a gapful number since it is divisible by the number (18) 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 19831925767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31134832344000).

19831925767968 is an abundant number, since it is smaller than the sum of its proper divisors (42437738920032).

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

19831925767968 is a wasteful number, since it uses less digits than its factorization.

19831925767968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133294 (or 133260 counting only the distinct ones).

The product of its digits is 2469035520, while the sum is 81.

It can be divided in two parts, 198319257 and 67968, that added together give a square (198387225 = 14085²).

The spelling of 19831925767968 in words is "nineteen trillion, eight hundred thirty-one billion, nine hundred twenty-five million, seven hundred sixty-seven thousand, nine hundred sixty-eight".