552604861440000 has 2240 divisors, whose sum is σ = 2193751475815680. Its totient is φ = 138645209088000.

The previous prime is 552604861439927. The next prime is 552604861440067. The reversal of 552604861440000 is 44168406255.

It is a happy number.

552604861440000 is a `hidden beast` number, since 5 + 5 + 26 + 0 + 4 + 8 + 614 + 4 + 0 + 0 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 190356478549 + ... + 190356481451.

Almost surely, 2^{552604861440000} is an apocalyptic number.

552604861440000 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 552604861440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096875737907840).

552604861440000 is an abundant number, since it is smaller than the sum of its proper divisors (1641146614375680).

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

552604861440000 is an frugal number, since it uses more digits than its factorization.

552604861440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 552604861440000 in words is "five hundred fifty-two trillion, six hundred four billion, eight hundred sixty-one million, four hundred forty thousand".