20145827520 has 1176 divisors, whose sum is σ = 90229370976. Its totient is φ = 4192321536.

The previous prime is 20145827519. The next prime is 20145827551. The reversal of 20145827520 is 2572854102.

It is a happy number.

20145827520 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 582 + 75 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 275970204 + ... + 275970276.

Almost surely, 2^20145827520 is an apocalyptic number.

20145827520 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 20145827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45114685488).

20145827520 is an abundant number, since it is smaller than the sum of its proper divisors (70083543456).

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

20145827520 is an equidigital number, since it uses as much as digits as its factorization.

20145827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 20145827520 in words is "twenty billion, one hundred forty-five million, eight hundred twenty-seven thousand, five hundred twenty".