19777690680000 has 560 divisors, whose sum is σ = 71500985060736. Its totient is φ = 4783380480000.

The previous prime is 19777690679983. The next prime is 19777690680043. The reversal of 19777690680000 is 8609677791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 571542699 + ... + 571577301.

Almost surely, 2^{19777690680000} is an apocalyptic number.

19777690680000 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 19777690680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35750492530368).

19777690680000 is an abundant number, since it is smaller than the sum of its proper divisors (51723294380736).

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

19777690680000 is a wasteful number, since it uses less digits than its factorization.

19777690680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35082 (or 35057 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 60.

The spelling of 19777690680000 in words is "nineteen trillion, seven hundred seventy-seven billion, six hundred ninety million, six hundred eighty thousand".