536201250816 has 1536 divisors, whose sum is σ = 2071899648000. Its totient is φ = 119899422720.

The previous prime is 536201250773. The next prime is 536201250829. The reversal of 536201250816 is 618052102635.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18489698290 + ... + 18489698318.

It is an arithmetic number, because the mean of its divisors is an integer number (1348893000).

Almost surely, 2^536201250816 is an apocalyptic number.

536201250816 is a gapful number since it is divisible by the number (56) 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 536201250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035949824000).

536201250816 is an abundant number, since it is smaller than the sum of its proper divisors (1535698397184).

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

536201250816 is a wasteful number, since it uses less digits than its factorization.

536201250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 536201250816 in words is "five hundred thirty-six billion, two hundred one million, two hundred fifty thousand, eight hundred sixteen".