535554748753920 has 1152 divisors, whose sum is σ = 2331098799120000. Its totient is φ = 115969694367744.

The previous prime is 535554748753889. The next prime is 535554748753949. The reversal of 535554748753920 is 29357847455535.

535554748753920 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 5 + 4 + 7 + 4 + 87 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256362576 + ... + 258443184.

It is an arithmetic number, because the mean of its divisors is an integer number (2023523263125).

Almost surely, 2^{535554748753920} 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 535554748753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165549399560000).

535554748753920 is an abundant number, since it is smaller than the sum of its proper divisors (1795544050366080).

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

535554748753920 is a wasteful number, since it uses less digits than its factorization.

535554748753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080678 (or 2080645 counting only the distinct ones).

The product of its (nonzero) digits is 3175200000, while the sum is 72.

The spelling of 535554748753920 in words is "five hundred thirty-five trillion, five hundred fifty-four billion, seven hundred forty-eight million, seven hundred fifty-three thousand, nine hundred twenty".