83535909564240 has 480 divisors, whose sum is σ = 330662083415040. Its totient is φ = 18500128690176.

The previous prime is 83535909564157. The next prime is 83535909564301. The reversal of 83535909564240 is 4246590953538.

It is a happy number.

83535909564240 is a `hidden beast` number, since 8 + 3 + 5 + 35 + 90 + 95 + 6 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 43631562 + ... + 45505878.

It is an arithmetic number, because the mean of its divisors is an integer number (688879340448).

Almost surely, 2^{83535909564240} is an apocalyptic number.

83535909564240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83535909564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165331041707520).

83535909564240 is an abundant number, since it is smaller than the sum of its proper divisors (247126173850800).

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

83535909564240 is a wasteful number, since it uses less digits than its factorization.

83535909564240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874619 (or 1874610 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 83535909564240 in words is "eighty-three trillion, five hundred thirty-five billion, nine hundred nine million, five hundred sixty-four thousand, two hundred forty".