536263387200 has 504 divisors, whose sum is σ = 2009464327520. Its totient is φ = 135265075200.

The previous prime is 536263387129. The next prime is 536263387249. The reversal of 536263387200 is 2783362635.

536263387200 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 63 + 387 + 200 = 666.

It is a super-3 number, since 3×536263387200³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 248154120 + ... + 248156280.

Almost surely, 2^536263387200 is an apocalyptic number.

536263387200 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 536263387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004732163760).

536263387200 is an abundant number, since it is smaller than the sum of its proper divisors (1473200940320).

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

536263387200 is a wasteful number, since it uses less digits than its factorization.

536263387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 536263387200 in words is "five hundred thirty-six billion, two hundred sixty-three million, three hundred eighty-seven thousand, two hundred".