20028657600 has 1008 divisors, whose sum is σ = 87025715712. Its totient is φ = 4269957120.

The previous prime is 20028657581. The next prime is 20028657611. The reversal of 20028657600 is 675682002.

20028657600 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 86 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×20028657600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122875119 + ... + 122875281.

Almost surely, 2^20028657600 is an apocalyptic number.

20028657600 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 20028657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43512857856).

20028657600 is an abundant number, since it is smaller than the sum of its proper divisors (66997058112).

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

20028657600 is a wasteful number, since it uses less digits than its factorization.

20028657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20028657600 in words is "twenty billion, twenty-eight million, six hundred fifty-seven thousand, six hundred".