20250996480000 has 2880 divisors, whose sum is σ = 90523758124800. Its totient is φ = 4286545920000.

The previous prime is 20250996479891. The next prime is 20250996480017. The reversal of 20250996480000 is 8469905202.

20250996480000 is a `hidden beast` number, since 2 + 0 + 2 + 509 + 9 + 64 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 239 ways as a sum of consecutive naturals, for example, 31299839677 + ... + 31299840323.

It is an arithmetic number, because the mean of its divisors is an integer number (31431860460).

Almost surely, 2^{20250996480000} is an apocalyptic number.

20250996480000 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 20250996480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45261879062400).

20250996480000 is an abundant number, since it is smaller than the sum of its proper divisors (70272761644800).

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

20250996480000 is a wasteful number, since it uses less digits than its factorization.

20250996480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20250996480000 in words is "twenty trillion, two hundred fifty billion, nine hundred ninety-six million, four hundred eighty thousand".