601098220800 has 1296 divisors, whose sum is σ = 2694117648768. Its totient is φ = 124216934400.

The previous prime is 601098220711. The next prime is 601098220823. The reversal of 601098220800 is 8022890106.

601098220800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601098220800² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1388217384 + ... + 1388217816.

Almost surely, 2^601098220800 is an apocalyptic number.

601098220800 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 601098220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347058824384).

601098220800 is an abundant number, since it is smaller than the sum of its proper divisors (2093019427968).

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

601098220800 is a wasteful number, since it uses less digits than its factorization.

601098220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 601098220800 in words is "six hundred one billion, ninety-eight million, two hundred twenty thousand, eight hundred".