355565159040 has 512 divisors, whose sum is σ = 1439928483840. Its totient is φ = 72599224320.

The previous prime is 355565159023. The next prime is 355565159051. The reversal of 355565159040 is 40951565553.

It is a super-3 number, since 3×355565159040³ (a number of 36 digits) contains 333 as substring.

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

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, 5383497 + ... + 5449143.

It is an arithmetic number, because the mean of its divisors is an integer number (2812360320).

Almost surely, 2^355565159040 is an apocalyptic number.

355565159040 is a gapful number since it is divisible by the number (30) 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 355565159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719964241920).

355565159040 is an abundant number, since it is smaller than the sum of its proper divisors (1084363324800).

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

355565159040 is a wasteful number, since it uses less digits than its factorization.

355565159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65720 (or 65708 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 48.

It can be divided in two parts, 355565 and 159040, that added together give a triangular number (514605 = T₁₀₁₄).

The spelling of 355565159040 in words is "three hundred fifty-five billion, five hundred sixty-five million, one hundred fifty-nine thousand, forty".