20245100400 has 360 divisors, whose sum is σ = 84520641920. Its totient is φ = 4383797760.

The previous prime is 20245100377. The next prime is 20245100413. The reversal of 20245100400 is 400154202.

20245100400 is a `hidden beast` number, since 20 + 245 + 1 + 0 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457659 + ... + 499941.

Almost surely, 2^20245100400 is an apocalyptic number.

20245100400 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 20245100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42260320960).

20245100400 is an abundant number, since it is smaller than the sum of its proper divisors (64275541520).

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

20245100400 is a wasteful number, since it uses less digits than its factorization.

20245100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42333 (or 42319 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 20245100400 its reverse (400154202), we get a palindrome (20645254602).

The spelling of 20245100400 in words is "twenty billion, two hundred forty-five million, one hundred thousand, four hundred".