5531922950400 has 864 divisors, whose sum is σ = 25290447974400. Its totient is φ = 1149487718400.

The previous prime is 5531922950399. The next prime is 5531922950419. The reversal of 5531922950400 is 40592291355.

5531922950400 is a `hidden beast` number, since 5 + 5 + 3 + 19 + 229 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13097721 + ... + 13513479.

Almost surely, 2^{5531922950400} is an apocalyptic number.

5531922950400 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 5531922950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645223987200).

5531922950400 is an abundant number, since it is smaller than the sum of its proper divisors (19758525024000).

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

5531922950400 is a wasteful number, since it uses less digits than its factorization.

5531922950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415812 (or 415787 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 5531922950400 in words is "five trillion, five hundred thirty-one billion, nine hundred twenty-two million, nine hundred fifty thousand, four hundred".