601078579200 has 1440 divisors, whose sum is σ = 2478820928640. Its totient is φ = 143327232000.

The previous prime is 601078579117. The next prime is 601078579217. The reversal of 601078579200 is 2975870106.

601078579200 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 78 + 579 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×601078579200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9853747170 + ... + 9853747230.

Almost surely, 2^601078579200 is an apocalyptic number.

601078579200 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 601078579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239410464320).

601078579200 is an abundant number, since it is smaller than the sum of its proper divisors (1877742349440).

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

601078579200 is an frugal number, since it uses more digits than its factorization.

601078579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 601078579200 in words is "six hundred one billion, seventy-eight million, five hundred seventy-nine thousand, two hundred".