20149928400 has 240 divisors, whose sum is σ = 74871033344. Its totient is φ = 4536829440.

The previous prime is 20149928377. The next prime is 20149928411. The reversal of 20149928400 is 482994102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20149928400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 544899 + ... + 580701.

Almost surely, 2^20149928400 is an apocalyptic number.

20149928400 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 20149928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37435516672).

20149928400 is an abundant number, since it is smaller than the sum of its proper divisors (54721104944).

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

20149928400 is a wasteful number, since it uses less digits than its factorization.

20149928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35898 (or 35887 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 20149928400 in words is "twenty billion, one hundred forty-nine million, nine hundred twenty-eight thousand, four hundred".