20087766720 has 560 divisors, whose sum is σ = 85976520960. Its totient is φ = 4349085696.

The previous prime is 20087766637. The next prime is 20087766731. The reversal of 20087766720 is 2766778002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3444447 + ... + 3450273.

Almost surely, 2^20087766720 is an apocalyptic number.

20087766720 is a gapful number since it is divisible by the number (20) 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 20087766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42988260480).

20087766720 is an abundant number, since it is smaller than the sum of its proper divisors (65888754240).

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

20087766720 is a wasteful number, since it uses less digits than its factorization.

20087766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 20087766720 in words is "twenty billion, eighty-seven million, seven hundred sixty-six thousand, seven hundred twenty".