5523933542400 has 5184 divisors, whose sum is σ = 27876719838240. Its totient is φ = 1070176665600.

The previous prime is 5523933542399. The next prime is 5523933542423. The reversal of 5523933542400 is 42453393255.

5523933542400 is a `hidden beast` number, since 5 + 5 + 2 + 39 + 33 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 134730086380 + ... + 134730086420.

Almost surely, 2^{5523933542400} is an apocalyptic number.

5523933542400 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 5523933542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13938359919120).

5523933542400 is an abundant number, since it is smaller than the sum of its proper divisors (22352786295840).

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

5523933542400 is a wasteful number, since it uses less digits than its factorization.

5523933542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 5523933542400 in words is "five trillion, five hundred twenty-three billion, nine hundred thirty-three million, five hundred forty-two thousand, four hundred".