84835254240 has 144 divisors (see below), whose sum is σ = 315818573616. Its totient is φ = 20566118400.

The previous prime is 84835254221. The next prime is 84835254247. The reversal of 84835254240 is 4245253848.

84835254240 is a `hidden beast` number, since 8 + 4 + 8 + 352 + 54 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×84835254240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84835254247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2662041 + ... + 2693720.

It is an arithmetic number, because the mean of its divisors is an integer number (2193184539).

Almost surely, 2^84835254240 is an apocalyptic number.

84835254240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84835254240 is an abundant number, since it is smaller than the sum of its proper divisors (230983319376).

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

84835254240 is a wasteful number, since it uses less digits than its factorization.

84835254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355793 (or 5355782 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 84835254240 in words is "eighty-four billion, eight hundred thirty-five million, two hundred fifty-four thousand, two hundred forty".