264232550400 has 1440 divisors, whose sum is σ = 1146771601920. Its totient is φ = 52093255680.

The previous prime is 264232550399. The next prime is 264232550423. The reversal of 264232550400 is 4055232462.

It is a happy number.

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, 1900953531 + ... + 1900953669.

It is an arithmetic number, because the mean of its divisors is an integer number (796369168).

Almost surely, 2^264232550400 is an apocalyptic number.

264232550400 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 264232550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573385800960).

264232550400 is an abundant number, since it is smaller than the sum of its proper divisors (882539051520).

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

264232550400 is a wasteful number, since it uses less digits than its factorization.

264232550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 264232550400 its reverse (4055232462), we get a palindrome (268287782862).

The spelling of 264232550400 in words is "two hundred sixty-four billion, two hundred thirty-two million, five hundred fifty thousand, four hundred".