536427048960 has 1248 divisors, whose sum is σ = 2163870858240. Its totient is φ = 126340300800.

The previous prime is 536427048901. The next prime is 536427048967. The reversal of 536427048960 is 69840724635.

536427048960 is a `hidden beast` number, since 5 + 36 + 4 + 2 + 70 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 536427048897 and 536427048906.

It is not an unprimeable number, because it can be changed into a prime (536427048967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2244464521 + ... + 2244464759.

It is an arithmetic number, because the mean of its divisors is an integer number (1733870880).

Almost surely, 2^536427048960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536427048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081935429120).

536427048960 is an abundant number, since it is smaller than the sum of its proper divisors (1627443809280).

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

536427048960 is a wasteful number, since it uses less digits than its factorization.

536427048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 536427048960 in words is "five hundred thirty-six billion, four hundred twenty-seven million, forty-eight thousand, nine hundred sixty".