536994201600 has 1080 divisors, whose sum is σ = 2055347560448. Its totient is φ = 133772083200.

The previous prime is 536994201577. The next prime is 536994201629. The reversal of 536994201600 is 6102499635.

536994201600 is a `hidden beast` number, since 5 + 3 + 69 + 9 + 420 + 160 + 0 = 666.

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

It is a congruent number.

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, 4228300737 + ... + 4228300863.

Almost surely, 2^536994201600 is an apocalyptic number.

536994201600 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 536994201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027673780224).

536994201600 is an abundant number, since it is smaller than the sum of its proper divisors (1518353358848).

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

536994201600 is a wasteful number, since it uses less digits than its factorization.

536994201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 536994201600 in words is "five hundred thirty-six billion, nine hundred ninety-four million, two hundred one thousand, six hundred".