20251885522320 has 640 divisors, whose sum is σ = 77334685977600. Its totient is φ = 4852758822912.

The previous prime is 20251885522313. The next prime is 20251885522321. The reversal of 20251885522320 is 2322558815202.

20251885522320 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 18 + 85 + 522 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20251885522321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 53116684 + ... + 53496596.

It is an arithmetic number, because the mean of its divisors is an integer number (120835446840).

Almost surely, 2^{20251885522320} is an apocalyptic number.

20251885522320 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 20251885522320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38667342988800).

20251885522320 is an abundant number, since it is smaller than the sum of its proper divisors (57082800455280).

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

20251885522320 is a wasteful number, since it uses less digits than its factorization.

20251885522320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380024 (or 380012 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 20251885522320 in words is "twenty trillion, two hundred fifty-one billion, eight hundred eighty-five million, five hundred twenty-two thousand, three hundred twenty".