5470361568000 has 2160 divisors, whose sum is σ = 23895015764256. Its totient is φ = 1246100889600.

The previous prime is 5470361567989. The next prime is 5470361568097. The reversal of 5470361568000 is 8651630745.

5470361568000 is a `hidden beast` number, since 54 + 7 + 0 + 36 + 1 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18670175854 + ... + 18670176146.

Almost surely, 2^{5470361568000} is an apocalyptic number.

5470361568000 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 5470361568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11947507882128).

5470361568000 is an abundant number, since it is smaller than the sum of its proper divisors (18424654196256).

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

5470361568000 is an frugal number, since it uses more digits than its factorization.

5470361568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5470361568000 in words is "five trillion, four hundred seventy billion, three hundred sixty-one million, five hundred sixty-eight thousand".