536350071600 has 360 divisors, whose sum is σ = 2128549344480. Its totient is φ = 122515476480.

The previous prime is 536350071599. The next prime is 536350071629. The reversal of 536350071600 is 6170053635.

It is a happy number.

536350071600 is a `hidden beast` number, since 5 + 3 + 635 + 0 + 0 + 7 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45076852 + ... + 45088748.

It is an arithmetic number, because the mean of its divisors is an integer number (5912637068).

Almost surely, 2^536350071600 is an apocalyptic number.

536350071600 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 536350071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064274672240).

536350071600 is an abundant number, since it is smaller than the sum of its proper divisors (1592199272880).

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

536350071600 is a wasteful number, since it uses less digits than its factorization.

536350071600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13717 (or 13703 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 536350071600 in words is "five hundred thirty-six billion, three hundred fifty million, seventy-one thousand, six hundred".