601080238080 has 1040 divisors, whose sum is σ = 2530901049600. Its totient is φ = 133580980224.

The previous prime is 601080238013. The next prime is 601080238093. The reversal of 601080238080 is 80832080106.

It is a super-2 number, since 2×601080238080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 429649221 + ... + 429650619.

Almost surely, 2^601080238080 is an apocalyptic number.

601080238080 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 601080238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265450524800).

601080238080 is an abundant number, since it is smaller than the sum of its proper divisors (1929820811520).

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

601080238080 is a wasteful number, since it uses less digits than its factorization.

601080238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 601080 and 238080, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 601080238080 in words is "six hundred one billion, eighty million, two hundred thirty-eight thousand, eighty".