20428262400 has 1056 divisors, whose sum is σ = 86423357440. Its totient is φ = 4140564480.

The previous prime is 20428262399. The next prime is 20428262419. The reversal of 20428262400 is 426282402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258585561 + ... + 258585639.

Almost surely, 2^20428262400 is an apocalyptic number.

20428262400 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 20428262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43211678720).

20428262400 is an abundant number, since it is smaller than the sum of its proper divisors (65995095040).

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

20428262400 is a wasteful number, since it uses less digits than its factorization.

20428262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 20428262400 in words is "twenty billion, four hundred twenty-eight million, two hundred sixty-two thousand, four hundred".