536490216000 has 1120 divisors, whose sum is σ = 2170644562944. Its totient is φ = 130222080000.

The previous prime is 536490215981. The next prime is 536490216001. The reversal of 536490216000 is 612094635.

It is a happy number.

536490216000 is a `hidden beast` number, since 5 + 3 + 6 + 49 + 0 + 2 + 1 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (536490216001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 341495215 + ... + 341496785.

Almost surely, 2^536490216000 is an apocalyptic number.

536490216000 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 536490216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085322281472).

536490216000 is an abundant number, since it is smaller than the sum of its proper divisors (1634154346944).

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

536490216000 is a wasteful number, since it uses less digits than its factorization.

536490216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 536490216000 in words is "five hundred thirty-six billion, four hundred ninety million, two hundred sixteen thousand".