19877477760000 has 3960 divisors, whose sum is σ = 92456934810240. Its totient is φ = 4165447680000.

The previous prime is 19877477759959. The next prime is 19877477760001. The reversal of 19877477760000 is 6777477891.

19877477760000 is a `hidden beast` number, since 1 + 98 + 7 + 7 + 477 + 76 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×19877477760000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 19877477760000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19877477760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 641208959985 + ... + 641208960015.

Almost surely, 2^{19877477760000} is an apocalyptic number.

19877477760000 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 19877477760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46228467405120).

19877477760000 is an abundant number, since it is smaller than the sum of its proper divisors (72579457050240).

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

19877477760000 is an frugal number, since it uses more digits than its factorization.

19877477760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 29042496, while the sum is 63.

The spelling of 19877477760000 in words is "nineteen trillion, eight hundred seventy-seven billion, four hundred seventy-seven million, seven hundred sixty thousand".