19735880468976 has 400 divisors, whose sum is σ = 65655381834240. Its totient is φ = 5606601131520.

The previous prime is 19735880468963. The next prime is 19735880468987. The reversal of 19735880468976 is 67986408853791.

19735880468976 is a `hidden beast` number, since 1 + 9 + 7 + 3 + 5 + 8 + 80 + 468 + 9 + 76 = 666.

It is a super-5 number, since 5×19735880468976⁵ (a number of 68 digits) contains 55555 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19735880468895 and 19735880468904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1634977021 + ... + 1634989091.

Almost surely, 2^{19735880468976} is an apocalyptic number.

19735880468976 is a gapful number since it is divisible by the number (16) 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 19735880468976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32827690917120).

19735880468976 is an abundant number, since it is smaller than the sum of its proper divisors (45919501365264).

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

19735880468976 is a wasteful number, since it uses less digits than its factorization.

19735880468976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13114 (or 13099 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 19735880468976 in words is "nineteen trillion, seven hundred thirty-five billion, eight hundred eighty million, four hundred sixty-eight thousand, nine hundred seventy-six".