601545785400 has 1152 divisors, whose sum is σ = 2563563600000. Its totient is φ = 125829365760.

The previous prime is 601545785377. The next prime is 601545785483. The reversal of 601545785400 is 4587545106.

601545785400 is a `hidden beast` number, since 6 + 0 + 1 + 54 + 57 + 8 + 540 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 388343826 + ... + 388345374.

It is an arithmetic number, because the mean of its divisors is an integer number (2225315625).

Almost surely, 2^601545785400 is an apocalyptic number.

601545785400 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 601545785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281781800000).

601545785400 is an abundant number, since it is smaller than the sum of its proper divisors (1962017814600).

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

601545785400 is a wasteful number, since it uses less digits than its factorization.

601545785400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

It can be divided in two parts, 601545 and 785400, that added together give a triangular number (1386945 = T₁₆₆₅).

The spelling of 601545785400 in words is "six hundred one billion, five hundred forty-five million, seven hundred eighty-five thousand, four hundred".