2023528819200 has 960 divisors, whose sum is σ = 8301681991680. Its totient is φ = 424009728000.

The previous prime is 2023528819189. The next prime is 2023528819211. The reversal of 2023528819200 is 29188253202.

It is an interprime number because it is at equal distance from previous prime (2023528819189) and next prime (2023528819211).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158316810 + ... + 158329590.

It is an arithmetic number, because the mean of its divisors is an integer number (8647585408).

Almost surely, 2^{2023528819200} is an apocalyptic number.

2023528819200 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 2023528819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150840995840).

2023528819200 is an abundant number, since it is smaller than the sum of its proper divisors (6278153172480).

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

2023528819200 is a wasteful number, since it uses less digits than its factorization.

2023528819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12869 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 2023528819200 in words is "two trillion, twenty-three billion, five hundred twenty-eight million, eight hundred nineteen thousand, two hundred".