19800047406456 has 128 divisors (see below), whose sum is σ = 58246891776000. Its totient is φ = 6210557369856.

The previous prime is 19800047406437. The next prime is 19800047406463. The reversal of 19800047406456 is 65460474000891.

19800047406456 is a `hidden beast` number, since 198 + 0 + 0 + 0 + 4 + 7 + 406 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18224985 + ... + 19280823.

It is an arithmetic number, because the mean of its divisors is an integer number (455053842000).

Almost surely, 2^{19800047406456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19800047406456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29123445888000).

19800047406456 is an abundant number, since it is smaller than the sum of its proper divisors (38446844369544).

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

19800047406456 is a wasteful number, since it uses less digits than its factorization.

19800047406456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060978 (or 1060968 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 19800047406456 in words is "nineteen trillion, eight hundred billion, forty-seven million, four hundred six thousand, four hundred fifty-six".