659049153840 has 640 divisors, whose sum is σ = 2841658122240. Its totient is φ = 136391040000.

The previous prime is 659049153823. The next prime is 659049153857. The reversal of 659049153840 is 48351940956.

659049153840 is a `hidden beast` number, since 6 + 590 + 4 + 9 + 1 + 5 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (659049153823) and next prime (659049153857).

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 127 ways as a sum of consecutive naturals, for example, 41738427 + ... + 41754213.

It is an arithmetic number, because the mean of its divisors is an integer number (4440090816).

Almost surely, 2^659049153840 is an apocalyptic number.

659049153840 is a gapful number since it is divisible by the number (60) 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 659049153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420829061120).

659049153840 is an abundant number, since it is smaller than the sum of its proper divisors (2182608968400).

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

659049153840 is a wasteful number, since it uses less digits than its factorization.

659049153840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16078 (or 16066 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 659049153840 in words is "six hundred fifty-nine billion, forty-nine million, one hundred fifty-three thousand, eight hundred forty".