601099742880 has 960 divisors, whose sum is σ = 2621611415808. Its totient is φ = 126307123200.

The previous prime is 601099742861. The next prime is 601099743029. The reversal of 601099742880 is 88247990106.

601099742880 is a `hidden beast` number, since 601 + 0 + 9 + 9 + 7 + 4 + 28 + 8 + 0 = 666.

It is a super-2 number, since 2×601099742880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 333757980 + ... + 333759780.

Almost surely, 2^601099742880 is an apocalyptic number.

601099742880 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 601099742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310805707904).

601099742880 is an abundant number, since it is smaller than the sum of its proper divisors (2020511672928).

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

601099742880 is a wasteful number, since it uses less digits than its factorization.

601099742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 601099742880 in words is "six hundred one billion, ninety-nine million, seven hundred forty-two thousand, eight hundred eighty".