19348384996980 has 960 divisors, whose sum is σ = 69909747038208. Its totient is φ = 4437470822400.

The previous prime is 19348384996957. The next prime is 19348384997003. The reversal of 19348384996980 is 8969948384391.

19348384996980 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 8 + 38 + 499 + 6 + 98 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19348384996957) and next prime (19348384997003).

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 19348384996980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 25030251874 + ... + 25030252646.

Almost surely, 2^{19348384996980} is an apocalyptic number.

19348384996980 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 19348384996980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34954873519104).

19348384996980 is an abundant number, since it is smaller than the sum of its proper divisors (50561362041228).

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

19348384996980 is a wasteful number, since it uses less digits than its factorization.

19348384996980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 2902376448, while the sum is 81.

The spelling of 19348384996980 in words is "nineteen trillion, three hundred forty-eight billion, three hundred eighty-four million, nine hundred ninety-six thousand, nine hundred eighty".