5735403624960 has 800 divisors, whose sum is σ = 21343880904192. Its totient is φ = 1470417960960.

The previous prime is 5735403624949. The next prime is 5735403625001. The reversal of 5735403624960 is 694263045375.

5735403624960 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 4 + 0 + 3 + 624 + 9 + 6 + 0 = 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 = 5735403624897 and 5735403624906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1009218279 + ... + 1009223961.

Almost surely, 2^{5735403624960} 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 5735403624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671940452096).

5735403624960 is an abundant number, since it is smaller than the sum of its proper divisors (15608477279232).

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

5735403624960 is a wasteful number, since it uses less digits than its factorization.

5735403624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 5735403624960 in words is "five trillion, seven hundred thirty-five billion, four hundred three million, six hundred twenty-four thousand, nine hundred sixty".