20874585600 has 1440 divisors, whose sum is σ = 93464553600. Its totient is φ = 4512153600.

The previous prime is 20874585587. The next prime is 20874585601. The reversal of 20874585600 is 658547802.

20874585600 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 4 + 585 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20874585601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1098662391 + ... + 1098662409.

It is an arithmetic number, because the mean of its divisors is an integer number (64905940).

Almost surely, 2^20874585600 is an apocalyptic number.

20874585600 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 20874585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46732276800).

20874585600 is an abundant number, since it is smaller than the sum of its proper divisors (72589968000).

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

20874585600 is a wasteful number, since it uses less digits than its factorization.

20874585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 20874585600 in words is "twenty billion, eight hundred seventy-four million, five hundred eighty-five thousand, six hundred".