23054210150400 has 5616 divisors, whose sum is σ = 110143698129920. Its totient is φ = 4729798656000.

The previous prime is 23054210150383. The next prime is 23054210150437. The reversal of 23054210150400 is 405101245032.

23054210150400 is a `hidden beast` number, since 2 + 3 + 0 + 54 + 2 + 101 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 743684198385 + ... + 743684198415.

Almost surely, 2^{23054210150400} is an apocalyptic number.

23054210150400 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 23054210150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55071849064960).

23054210150400 is an abundant number, since it is smaller than the sum of its proper divisors (87089487979520).

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

23054210150400 is a wasteful number, since it uses less digits than its factorization.

23054210150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 23054210150400 its reverse (405101245032), we get a palindrome (23459311395432).

The spelling of 23054210150400 in words is "twenty-three trillion, fifty-four billion, two hundred ten million, one hundred fifty thousand, four hundred".