535646368990080 has 320 divisors, whose sum is σ = 1914848000754480. Its totient is φ = 142692816568320.

The previous prime is 535646368990037. The next prime is 535646368990099. The reversal of 535646368990080 is 80099863646535.

535646368990080 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 463 + 6 + 89 + 9 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×535646368990080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 535646368989990 and 535646368990008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45359715 + ... + 55935645.

Almost surely, 2^{535646368990080} 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 535646368990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957424000377240).

535646368990080 is an abundant number, since it is smaller than the sum of its proper divisors (1379201631764400).

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

535646368990080 is a wasteful number, since it uses less digits than its factorization.

535646368990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10576939 (or 10576918 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 535646368990080 in words is "five hundred thirty-five trillion, six hundred forty-six billion, three hundred sixty-eight million, nine hundred ninety thousand, eighty".