5978565450000 has 3360 divisors, whose sum is σ = 27036903527424. Its totient is φ = 1259712000000.

The previous prime is 5978565449947. The next prime is 5978565450119. The reversal of 5978565450000 is 545658795.

5978565450000 is a `hidden beast` number, since 5 + 9 + 7 + 85 + 6 + 54 + 500 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 161582849982 + ... + 161582850018.

Almost surely, 2^{5978565450000} is an apocalyptic number.

5978565450000 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 5978565450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518451763712).

5978565450000 is an abundant number, since it is smaller than the sum of its proper divisors (21058338077424).

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

5978565450000 is a wasteful number, since it uses less digits than its factorization.

5978565450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 5978565450000 in words is "five trillion, nine hundred seventy-eight billion, five hundred sixty-five million, four hundred fifty thousand".