20825247744 has 624 divisors, whose sum is σ = 73941795200. Its totient is φ = 5852528640.

The previous prime is 20825247697. The next prime is 20825247761. The reversal of 20825247744 is 44774252802.

20825247744 is a `hidden beast` number, since 2 + 0 + 82 + 524 + 7 + 7 + 44 = 666.

It is a super-3 number, since 3×20825247744³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20825247744.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341397474 + ... + 341397534.

Almost surely, 2^20825247744 is an apocalyptic number.

20825247744 is a gapful number since it is divisible by the number (24) 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 20825247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36970897600).

20825247744 is an abundant number, since it is smaller than the sum of its proper divisors (53116547456).

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

20825247744 is an frugal number, since it uses more digits than its factorization.

20825247744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 20825247744 in words is "twenty billion, eight hundred twenty-five million, two hundred forty-seven thousand, seven hundred forty-four".