20764541762048 has 160 divisors (see below), whose sum is σ = 49747384439808. Its totient is φ = 8470838476800.

The previous prime is 20764541762009. The next prime is 20764541762051. The reversal of 20764541762048 is 84026714546702.

It is a super-3 number, since 3×20764541762048³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 20764541761984 and 20764541762002.

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 15 ways as a sum of consecutive naturals, for example, 5245436 + ... + 8309252.

Almost surely, 2^{20764541762048} is an apocalyptic number.

20764541762048 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 20764541762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873692219904).

20764541762048 is an abundant number, since it is smaller than the sum of its proper divisors (28982842677760).

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

20764541762048 is an equidigital number, since it uses as much as digits as its factorization.

20764541762048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063934 (or 3063918 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 56.

The spelling of 20764541762048 in words is "twenty trillion, seven hundred sixty-four billion, five hundred forty-one million, seven hundred sixty-two thousand, forty-eight".