2023552562400 has 864 divisors, whose sum is σ = 7515481978368. Its totient is φ = 531256320000.

The previous prime is 2023552562387. The next prime is 2023552562419. The reversal of 2023552562400 is 42652553202.

2023552562400 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 5 + 5 + 25 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×2023552562400³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5513767017 + ... + 5513767383.

It is an arithmetic number, because the mean of its divisors is an integer number (8698474512).

Almost surely, 2^{2023552562400} is an apocalyptic number.

2023552562400 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 2023552562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757740989184).

2023552562400 is an abundant number, since it is smaller than the sum of its proper divisors (5491929415968).

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

2023552562400 is a wasteful number, since it uses less digits than its factorization.

2023552562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2023552562400 in words is "two trillion, twenty-three billion, five hundred fifty-two million, five hundred sixty-two thousand, four hundred".