159993200640 has 1024 divisors, whose sum is σ = 651784896000. Its totient is φ = 33294385152.

The previous prime is 159993200537. The next prime is 159993200671. The reversal of 159993200640 is 46002399951.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-3 number, since 3×159993200640³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 159993200640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2191687644 + ... + 2191687716.

Almost surely, 2^159993200640 is an apocalyptic number.

159993200640 is a gapful number since it is divisible by the number (10) 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 159993200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325892448000).

159993200640 is an abundant number, since it is smaller than the sum of its proper divisors (491791695360).

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

159993200640 is an frugal number, since it uses more digits than its factorization.

159993200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 159993200640 in words is "one hundred fifty-nine billion, nine hundred ninety-three million, two hundred thousand, six hundred forty".