5689148267040 has 768 divisors, whose sum is σ = 23222090465280. Its totient is φ = 1140352266240.

The previous prime is 5689148267039. The next prime is 5689148267053. The reversal of 5689148267040 is 407628419865.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45455427 + ... + 45580413.

It is an arithmetic number, because the mean of its divisors is an integer number (30237096960).

Almost surely, 2^{5689148267040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5689148267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11611045232640).

5689148267040 is an abundant number, since it is smaller than the sum of its proper divisors (17532942198240).

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

5689148267040 is a wasteful number, since it uses less digits than its factorization.

5689148267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125085 (or 125077 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 5689148267040 in words is "five trillion, six hundred eighty-nine billion, one hundred forty-eight million, two hundred sixty-seven thousand, forty".