19868419252980 has 480 divisors, whose sum is σ = 63632871751680. Its totient is φ = 5188368556800.

The previous prime is 19868419252963. The next prime is 19868419252991. The reversal of 19868419252980 is 8925291486891.

19868419252980 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 8 + 4 + 1 + 92 + 529 + 8 + 0 = 666.

It is a super-2 number, since 2×19868419252980² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19868419252899 and 19868419252908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17261875405 + ... + 17261876555.

It is an arithmetic number, because the mean of its divisors is an integer number (132568482816).

Almost surely, 2^{19868419252980} is an apocalyptic number.

19868419252980 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 19868419252980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31816435875840).

19868419252980 is an abundant number, since it is smaller than the sum of its proper divisors (43764452498700).

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

19868419252980 is a wasteful number, since it uses less digits than its factorization.

19868419252980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 19868419252980 in words is "nineteen trillion, eight hundred sixty-eight billion, four hundred nineteen million, two hundred fifty-two thousand, nine hundred eighty".