20152202400 has 216 divisors, whose sum is σ = 77522163264. Its totient is φ = 4885363200.

The previous prime is 20152202381. The next prime is 20152202489. The reversal of 20152202400 is 420225102.

20152202400 is a `hidden beast` number, since 201 + 5 + 220 + 240 + 0 = 666.

It is a super-2 number, since 2×20152202400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48024 + ... + 206423.

It is an arithmetic number, because the mean of its divisors is an integer number (358898904).

Almost surely, 2^20152202400 is an apocalyptic number.

20152202400 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 20152202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38761081632).

20152202400 is an abundant number, since it is smaller than the sum of its proper divisors (57369960864).

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

20152202400 is a wasteful number, since it uses less digits than its factorization.

20152202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254484 (or 254468 counting only the distinct ones).

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

Adding to 20152202400 its reverse (420225102), we get a palindrome (20572427502).

The spelling of 20152202400 in words is "twenty billion, one hundred fifty-two million, two hundred two thousand, four hundred".