20247752321280 has 1440 divisors, whose sum is σ = 81536478363648. Its totient is φ = 4755179520000.

The previous prime is 20247752321243. The next prime is 20247752321299. The reversal of 20247752321280 is 8212325774202.

20247752321280 is a `hidden beast` number, since 2 + 0 + 2 + 47 + 7 + 5 + 2 + 321 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6228159655 + ... + 6228162905.

Almost surely, 2^{20247752321280} is an apocalyptic number.

20247752321280 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 20247752321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40768239181824).

20247752321280 is an abundant number, since it is smaller than the sum of its proper divisors (61288726042368).

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

20247752321280 is a wasteful number, since it uses less digits than its factorization.

20247752321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20247752321280 in words is "twenty trillion, two hundred forty-seven billion, seven hundred fifty-two million, three hundred twenty-one thousand, two hundred eighty".