2123194550400 has 2880 divisors, whose sum is σ = 10380757464000. Its totient is φ = 417141964800.

The previous prime is 2123194550383. The next prime is 2123194550437. The reversal of 2123194550400 is 40554913212.

2123194550400 is a `hidden beast` number, since 2 + 12 + 3 + 1 + 94 + 550 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4171305346 + ... + 4171305854.

It is an arithmetic number, because the mean of its divisors is an integer number (3604429675).

Almost surely, 2^{2123194550400} is an apocalyptic number.

2123194550400 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 2123194550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190378732000).

2123194550400 is an abundant number, since it is smaller than the sum of its proper divisors (8257562913600).

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

2123194550400 is a wasteful number, since it uses less digits than its factorization.

2123194550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2123194550400 in words is "two trillion, one hundred twenty-three billion, one hundred ninety-four million, five hundred fifty thousand, four hundred".