535625427696192 has 336 divisors, whose sum is σ = 1641656336411520. Its totient is φ = 166379588960256.

The previous prime is 535625427696167. The next prime is 535625427696221. The reversal of 535625427696192 is 291696724526535.

535625427696192 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 2 + 5 + 427 + 6 + 9 + 6 + 192 = 666.

It is a hoax number, since the sum of its digits (72) 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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 535625427696192.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1966479309 + ... + 1966751667.

Almost surely, 2^{535625427696192} 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 535625427696192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820828168205760).

535625427696192 is an abundant number, since it is smaller than the sum of its proper divisors (1106030908715328).

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

535625427696192 is a wasteful number, since it uses less digits than its factorization.

535625427696192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274378 (or 274365 counting only the distinct ones).

The product of its digits is 1469664000, while the sum is 72.

The spelling of 535625427696192 in words is "five hundred thirty-five trillion, six hundred twenty-five billion, four hundred twenty-seven million, six hundred ninety-six thousand, one hundred ninety-two".