2018572153920 has 1008 divisors, whose sum is σ = 8731894916160. Its totient is φ = 425269813248.

The previous prime is 2018572153891. The next prime is 2018572153933. The reversal of 2018572153920 is 293512758102.

2018572153920 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 572 + 1 + 53 + 9 + 20 = 666.

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

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

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, 99197187 + ... + 99217533.

Almost surely, 2^{2018572153920} is an apocalyptic number.

2018572153920 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 2018572153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365947458080).

2018572153920 is an abundant number, since it is smaller than the sum of its proper divisors (6713322762240).

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

2018572153920 is a wasteful number, since it uses less digits than its factorization.

2018572153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20440 (or 20420 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

It can be divided in two parts, 20185 and 72153920, that added together give a triangular number (72174105 = T₁₂₀₁₄).

The spelling of 2018572153920 in words is "two trillion, eighteen billion, five hundred seventy-two million, one hundred fifty-three thousand, nine hundred twenty".