23305054201400 has 96 divisors (see below), whose sum is σ = 55270587634560. Its totient is φ = 9135532823040.

The previous prime is 23305054201367. The next prime is 23305054201433. The reversal of 23305054201400 is 410245050332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23305054201367) and next prime (23305054201433).

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 23 ways as a sum of consecutive naturals, for example, 7873994 + ... + 10421606.

It is an arithmetic number, because the mean of its divisors is an integer number (575735287860).

Almost surely, 2^{23305054201400} is an apocalyptic number.

23305054201400 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 23305054201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27635293817280).

23305054201400 is an abundant number, since it is smaller than the sum of its proper divisors (31965533433160).

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

23305054201400 is a wasteful number, since it uses less digits than its factorization.

23305054201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548545 (or 2548536 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 23305054201400 its reverse (410245050332), we get a palindrome (23715299251732).

The spelling of 23305054201400 in words is "twenty-three trillion, three hundred five billion, fifty-four million, two hundred one thousand, four hundred".