20145250800 has 450 divisors, whose sum is σ = 74822637384. Its totient is φ = 5190739200.

The previous prime is 20145250781. The next prime is 20145250823. The reversal of 20145250800 is 805254102.

It is a happy number.

20145250800 is a `hidden beast` number, since 201 + 452 + 5 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×20145250800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 31136077 + ... + 31136723.

Almost surely, 2^20145250800 is an apocalyptic number.

20145250800 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 20145250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37411318692).

20145250800 is an abundant number, since it is smaller than the sum of its proper divisors (54677386584).

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

20145250800 is a wasteful number, since it uses less digits than its factorization.

20145250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

It can be divided in two parts, 201452 and 50800, that added together give a palindrome (252252).

The spelling of 20145250800 in words is "twenty billion, one hundred forty-five million, two hundred fifty thousand, eight hundred".