536914030800 has 720 divisors, whose sum is σ = 2125154784960. Its totient is φ = 115208110080.

The previous prime is 536914030771. The next prime is 536914030853. The reversal of 536914030800 is 8030419635.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126241474 + ... + 126245726.

It is an arithmetic number, because the mean of its divisors is an integer number (2951603868).

Almost surely, 2^536914030800 is an apocalyptic number.

536914030800 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 536914030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062577392480).

536914030800 is an abundant number, since it is smaller than the sum of its proper divisors (1588240754160).

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

536914030800 is a wasteful number, since it uses less digits than its factorization.

536914030800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 536914030800 in words is "five hundred thirty-six billion, nine hundred fourteen million, thirty thousand, eight hundred".