20250164088000 has 1344 divisors, whose sum is σ = 91061977383936. Its totient is φ = 4207686912000.

The previous prime is 20250164087999. The next prime is 20250164088013. The reversal of 20250164088000 is 88046105202.

20250164088000 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 0 + 1 + 640 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 670808907 + ... + 670839093.

Almost surely, 2^{20250164088000} is an apocalyptic number.

20250164088000 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 20250164088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45530988691968).

20250164088000 is an abundant number, since it is smaller than the sum of its proper divisors (70811813295936).

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

20250164088000 is a wasteful number, since it uses less digits than its factorization.

20250164088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30260 (or 30215 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 20250164088000 in words is "twenty trillion, two hundred fifty billion, one hundred sixty-four million, eighty-eight thousand".