20707753248000 has 2304 divisors, whose sum is σ = 95487370567680. Its totient is φ = 4302802944000.

The previous prime is 20707753247989. The next prime is 20707753248023. The reversal of 20707753248000 is 84235770702.

20707753248000 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 77 + 532 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×20707753248000² (a number of 27 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 5267806035 + ... + 5267809965.

Almost surely, 2^{20707753248000} is an apocalyptic number.

20707753248000 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 20707753248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47743685283840).

20707753248000 is an abundant number, since it is smaller than the sum of its proper divisors (74779617319680).

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

20707753248000 is a wasteful number, since it uses less digits than its factorization.

20707753248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 20707753248000 in words is "twenty trillion, seven hundred seven billion, seven hundred fifty-three million, two hundred forty-eight thousand".