536958120600 has 576 divisors, whose sum is σ = 2160120493440. Its totient is φ = 122512435200.

The previous prime is 536958120577. The next prime is 536958120641. The reversal of 536958120600 is 6021859635.

536958120600 is a `hidden beast` number, since 5 + 3 + 6 + 9 + 581 + 2 + 0 + 60 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 9058659 + ... + 9117741.

It is an arithmetic number, because the mean of its divisors is an integer number (3750209190).

Almost surely, 2^536958120600 is an apocalyptic number.

536958120600 is a gapful number since it is divisible by the number (50) 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 536958120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080060246720).

536958120600 is an abundant number, since it is smaller than the sum of its proper divisors (1623162372840).

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

536958120600 is a wasteful number, since it uses less digits than its factorization.

536958120600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59142 (or 59121 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 536958120600 in words is "five hundred thirty-six billion, nine hundred fifty-eight million, one hundred twenty thousand, six hundred".