20285154000 has 280 divisors, whose sum is σ = 73545897672. Its totient is φ = 5408985600.

The previous prime is 20285153989. The next prime is 20285154007. The reversal of 20285154000 is 45158202.

It is a happy number.

20285154000 is a `hidden beast` number, since 202 + 8 + 51 + 5 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 390615696 + 19894538304 = 19764^2 + 141048^2 .

It is a super-2 number, since 2×20285154000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20285154007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1451044 + ... + 1464956.

Almost surely, 2^20285154000 is an apocalyptic number.

20285154000 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 20285154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36772948836).

20285154000 is an abundant number, since it is smaller than the sum of its proper divisors (53260743672).

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

20285154000 is an equidigital number, since it uses as much as digits as its factorization.

20285154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13954 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 20285154000 in words is "twenty billion, two hundred eighty-five million, one hundred fifty-four thousand".