536487212400 has 240 divisors, whose sum is σ = 1788329051520. Its totient is φ = 137367014400.

The previous prime is 536487212383. The next prime is 536487212447. The reversal of 536487212400 is 4212784635.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956290 + ... + 3132510.

It is an arithmetic number, because the mean of its divisors is an integer number (7451371048).

Almost surely, 2^536487212400 is an apocalyptic number.

536487212400 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 536487212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894164525760).

536487212400 is an abundant number, since it is smaller than the sum of its proper divisors (1251841839120).

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

536487212400 is a wasteful number, since it uses less digits than its factorization.

536487212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176344 (or 176333 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 536487212400 in words is "five hundred thirty-six billion, four hundred eighty-seven million, two hundred twelve thousand, four hundred".