5233454150400 has 1728 divisors, whose sum is σ = 22996934768640. Its totient is φ = 1138655232000.

The previous prime is 5233454150399. The next prime is 5233454150417. The reversal of 5233454150400 is 40514543325.

5233454150400 is a `hidden beast` number, since 5 + 23 + 3 + 4 + 541 + 50 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8707910100 + ... + 8707910700.

Almost surely, 2^{5233454150400} is an apocalyptic number.

5233454150400 is a gapful number since it is divisible by the number (50) 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 5233454150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498467384320).

5233454150400 is an abundant number, since it is smaller than the sum of its proper divisors (17763480618240).

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

5233454150400 is a wasteful number, since it uses less digits than its factorization.

5233454150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 954 counting only the distinct ones).

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

Adding to 5233454150400 its reverse (40514543325), we get a palindrome (5273968693725).

The spelling of 5233454150400 in words is "five trillion, two hundred thirty-three billion, four hundred fifty-four million, one hundred fifty thousand, four hundred".