2019977765568 has 504 divisors, whose sum is σ = 7324183687392. Its totient is φ = 528501915648.

The previous prime is 2019977765563. The next prime is 2019977765569. The reversal of 2019977765568 is 8655677799102.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-4 number, since 4×2019977765568⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2019977765496 and 2019977765505.

It is not an unprimeable number, because it can be changed into a prime (2019977765563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17696005 + ... + 17809787.

Almost surely, 2^{2019977765568} is an apocalyptic number.

2019977765568 is a gapful number since it is divisible by the number (28) 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 2019977765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662091843696).

2019977765568 is an abundant number, since it is smaller than the sum of its proper divisors (5304205921824).

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

2019977765568 is a wasteful number, since it uses less digits than its factorization.

2019977765568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113869 (or 113849 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 72.

The spelling of 2019977765568 in words is "two trillion, nineteen billion, nine hundred seventy-seven million, seven hundred sixty-five thousand, five hundred sixty-eight".