5435675658240 has 384 divisors, whose sum is σ = 17890598718720. Its totient is φ = 1408313327616.

The previous prime is 5435675658209. The next prime is 5435675658253. The reversal of 5435675658240 is 428565765345.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167684274 + ... + 167716686.

It is an arithmetic number, because the mean of its divisors is an integer number (46590100830).

Almost surely, 2^{5435675658240} 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 5435675658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945299359360).

5435675658240 is an abundant number, since it is smaller than the sum of its proper divisors (12454923060480).

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

5435675658240 is a wasteful number, since it uses less digits than its factorization.

5435675658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32599 (or 32579 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 60.

The spelling of 5435675658240 in words is "five trillion, four hundred thirty-five billion, six hundred seventy-five million, six hundred fifty-eight thousand, two hundred forty".